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Finding the Fourth Proportional to 59,022, 88,591.32 and 31,320

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Solution

The fourth proportional to 59,022, 88,591.32 and 31,320 is: 47,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,022 : 88,591.32 = 31,320 : x
  2. Step 2: Convert to fraction form
    59,022/88,591.32 = 31,320/x
  3. Step 3: Cross multiply
    59,022x = 88,591.32 × 31,320
  4. Step 4: Simplify right side
    59,022x = 2,774,680,142.40
  5. Step 5: Solve for x
    x = 2,774,680,142.40/59,022
  6. Step 6: Final answer
    x = 47,010.95

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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.