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Finding the Fourth Proportional to 48,937, 67,538.82 and 29,065

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Solution

The fourth proportional to 48,937, 67,538.82 and 29,065 is: 40,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,937 : 67,538.82 = 29,065 : x
  2. Step 2: Convert to fraction form
    48,937/67,538.82 = 29,065/x
  3. Step 3: Cross multiply
    48,937x = 67,538.82 × 29,065
  4. Step 4: Simplify right side
    48,937x = 1,963,015,803.30
  5. Step 5: Solve for x
    x = 1,963,015,803.30/48,937
  6. Step 6: Final answer
    x = 40,113.12

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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.