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Finding the Fourth Proportional to 52,876.48, 72,968.28 and 29,002.95

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Solution

The fourth proportional to 52,876.48, 72,968.28 and 29,002.95 is: 40,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,876.48 : 72,968.28 = 29,002.95 : x
  2. Step 2: Convert to fraction form
    52,876.48/72,968.28 = 29,002.95/x
  3. Step 3: Cross multiply
    52,876.48x = 72,968.28 × 29,002.95
  4. Step 4: Simplify right side
    52,876.48x = 2,116,295,376.43
  5. Step 5: Solve for x
    x = 2,116,295,376.43/52,876.48
  6. Step 6: Final answer
    x = 40,023.38

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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.