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Finding the Fourth Proportional to 61,497.36, 84,862.08 and 36,342

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Solution

The fourth proportional to 61,497.36, 84,862.08 and 36,342 is: 50,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,497.36 : 84,862.08 = 36,342 : x
  2. Step 2: Convert to fraction form
    61,497.36/84,862.08 = 36,342/x
  3. Step 3: Cross multiply
    61,497.36x = 84,862.08 × 36,342
  4. Step 4: Simplify right side
    61,497.36x = 3,084,057,711.36
  5. Step 5: Solve for x
    x = 3,084,057,711.36/61,497.36
  6. Step 6: Final answer
    x = 50,149.43

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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.