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Finding the Fourth Proportional to 31,596.53, 47,358.35 and 11,862.50

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Solution

The fourth proportional to 31,596.53, 47,358.35 and 11,862.50 is: 17,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.53 : 47,358.35 = 11,862.50 : x
  2. Step 2: Convert to fraction form
    31,596.53/47,358.35 = 11,862.50/x
  3. Step 3: Cross multiply
    31,596.53x = 47,358.35 × 11,862.50
  4. Step 4: Simplify right side
    31,596.53x = 561,788,485.96
  5. Step 5: Solve for x
    x = 561,788,485.96/31,596.53
  6. Step 6: Final answer
    x = 17,780.07

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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.