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Finding the Fourth Proportional to 52,332, 72,218.16 and 29,977.44

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Solution

The fourth proportional to 52,332, 72,218.16 and 29,977.44 is: 41,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,332 : 72,218.16 = 29,977.44 : x
  2. Step 2: Convert to fraction form
    52,332/72,218.16 = 29,977.44/x
  3. Step 3: Cross multiply
    52,332x = 72,218.16 × 29,977.44
  4. Step 4: Simplify right side
    52,332x = 2,164,915,558.31
  5. Step 5: Solve for x
    x = 2,164,915,558.31/52,332
  6. Step 6: Final answer
    x = 41,368.87

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Why These Related Problems?

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