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Finding the Fourth Proportional to 75,640.13, 113,472.51 and 22,337.50

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Solution

The fourth proportional to 75,640.13, 113,472.51 and 22,337.50 is: 33,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,640.13 : 113,472.51 = 22,337.50 : x
  2. Step 2: Convert to fraction form
    75,640.13/113,472.51 = 22,337.50/x
  3. Step 3: Cross multiply
    75,640.13x = 113,472.51 × 22,337.50
  4. Step 4: Simplify right side
    75,640.13x = 2,534,692,100.26
  5. Step 5: Solve for x
    x = 2,534,692,100.26/75,640.13
  6. Step 6: Final answer
    x = 33,509.89

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