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Finding the Fourth Proportional to 52,332, 72,224.70 and 29,976

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Solution

The fourth proportional to 52,332, 72,224.70 and 29,976 is: 41,370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,332 : 72,224.70 = 29,976 : x
  2. Step 2: Convert to fraction form
    52,332/72,224.70 = 29,976/x
  3. Step 3: Cross multiply
    52,332x = 72,224.70 × 29,976
  4. Step 4: Simplify right side
    52,332x = 2,165,007,607.20
  5. Step 5: Solve for x
    x = 2,165,007,607.20/52,332
  6. Step 6: Final answer
    x = 41,370.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.