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Finding the Fourth Proportional to 75,792.34, 113,669.12 and 22,471.85

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Solution

The fourth proportional to 75,792.34, 113,669.12 and 22,471.85 is: 33,702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,792.34 : 113,669.12 = 22,471.85 : x
  2. Step 2: Convert to fraction form
    75,792.34/113,669.12 = 22,471.85/x
  3. Step 3: Cross multiply
    75,792.34x = 113,669.12 × 22,471.85
  4. Step 4: Simplify right side
    75,792.34x = 2,554,355,159.83
  5. Step 5: Solve for x
    x = 2,554,355,159.83/75,792.34
  6. Step 6: Final answer
    x = 33,702.02

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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.