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Finding the Fourth Proportional to 83,853, 115,717.14 and 46,127.25

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Solution

The fourth proportional to 83,853, 115,717.14 and 46,127.25 is: 63,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,853 : 115,717.14 = 46,127.25 : x
  2. Step 2: Convert to fraction form
    83,853/115,717.14 = 46,127.25/x
  3. Step 3: Cross multiply
    83,853x = 115,717.14 × 46,127.25
  4. Step 4: Simplify right side
    83,853x = 5,337,713,446.07
  5. Step 5: Solve for x
    x = 5,337,713,446.07/83,853
  6. Step 6: Final answer
    x = 63,655.61

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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.