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Finding the Fourth Proportional to 52,878.38, 72,972.16 and 29,005.10

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Solution

The fourth proportional to 52,878.38, 72,972.16 and 29,005.10 is: 40,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878.38 : 72,972.16 = 29,005.10 : x
  2. Step 2: Convert to fraction form
    52,878.38/72,972.16 = 29,005.10/x
  3. Step 3: Cross multiply
    52,878.38x = 72,972.16 × 29,005.10
  4. Step 4: Simplify right side
    52,878.38x = 2,116,565,044.76
  5. Step 5: Solve for x
    x = 2,116,565,044.76/52,878.38
  6. Step 6: Final answer
    x = 40,027.04

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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.