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Finding the Fourth Proportional to 52,874.52, 72,968.88 and 29,002.20

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Solution

The fourth proportional to 52,874.52, 72,968.88 and 29,002.20 is: 40,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,874.52 : 72,968.88 = 29,002.20 : x
  2. Step 2: Convert to fraction form
    52,874.52/72,968.88 = 29,002.20/x
  3. Step 3: Cross multiply
    52,874.52x = 72,968.88 × 29,002.20
  4. Step 4: Simplify right side
    52,874.52x = 2,116,258,051.54
  5. Step 5: Solve for x
    x = 2,116,258,051.54/52,874.52
  6. Step 6: Final answer
    x = 40,024.16

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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.