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Finding the Fourth Proportional to 32,856,102.80, 49,189,675.80 and 31,911,318.80

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Solution

The fourth proportional to 32,856,102.80, 49,189,675.80 and 31,911,318.80 is: 47,775,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856,102.80 : 49,189,675.80 = 31,911,318.80 : x
  2. Step 2: Convert to fraction form
    32,856,102.80/49,189,675.80 = 31,911,318.80/x
  3. Step 3: Cross multiply
    32,856,102.80x = 49,189,675.80 × 31,911,318.80
  4. Step 4: Simplify right side
    32,856,102.80x = 1,569,707,426,122,445
  5. Step 5: Solve for x
    x = 1,569,707,426,122,445/32,856,102.80
  6. Step 6: Final answer
    x = 47,775,216.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.