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Finding the Fourth Proportional to 48,934, 67,534.68 and 29,062

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Solution

The fourth proportional to 48,934, 67,534.68 and 29,062 is: 40,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,934 : 67,534.68 = 29,062 : x
  2. Step 2: Convert to fraction form
    48,934/67,534.68 = 29,062/x
  3. Step 3: Cross multiply
    48,934x = 67,534.68 × 29,062
  4. Step 4: Simplify right side
    48,934x = 1,962,692,870.16
  5. Step 5: Solve for x
    x = 1,962,692,870.16/48,934
  6. Step 6: Final answer
    x = 40,108.98

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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.