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Finding the Fourth Proportional to 61,398, 84,729.24 and 34,902

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Solution

The fourth proportional to 61,398, 84,729.24 and 34,902 is: 48,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,398 : 84,729.24 = 34,902 : x
  2. Step 2: Convert to fraction form
    61,398/84,729.24 = 34,902/x
  3. Step 3: Cross multiply
    61,398x = 84,729.24 × 34,902
  4. Step 4: Simplify right side
    61,398x = 2,957,219,934.48
  5. Step 5: Solve for x
    x = 2,957,219,934.48/61,398
  6. Step 6: Final answer
    x = 48,164.76

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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.