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Finding the Fourth Proportional to 37,588.50, 56,386.53 and 13,902.30

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Solution

The fourth proportional to 37,588.50, 56,386.53 and 13,902.30 is: 20,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,588.50 : 56,386.53 = 13,902.30 : x
  2. Step 2: Convert to fraction form
    37,588.50/56,386.53 = 13,902.30/x
  3. Step 3: Cross multiply
    37,588.50x = 56,386.53 × 13,902.30
  4. Step 4: Simplify right side
    37,588.50x = 783,902,456.02
  5. Step 5: Solve for x
    x = 783,902,456.02/37,588.50
  6. Step 6: Final answer
    x = 20,854.85

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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.