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Finding the Fourth Proportional to 32,865.76, 49,305.93 and 9,490.42

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Solution

The fourth proportional to 32,865.76, 49,305.93 and 9,490.42 is: 14,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865.76 : 49,305.93 = 9,490.42 : x
  2. Step 2: Convert to fraction form
    32,865.76/49,305.93 = 9,490.42/x
  3. Step 3: Cross multiply
    32,865.76x = 49,305.93 × 9,490.42
  4. Step 4: Simplify right side
    32,865.76x = 467,933,984.19
  5. Step 5: Solve for x
    x = 467,933,984.19/32,865.76
  6. Step 6: Final answer
    x = 14,237.74

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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.