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Finding the Fourth Proportional to 91,597, 126,403.86 and 51,853

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Solution

The fourth proportional to 91,597, 126,403.86 and 51,853 is: 71,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,597 : 126,403.86 = 51,853 : x
  2. Step 2: Convert to fraction form
    91,597/126,403.86 = 51,853/x
  3. Step 3: Cross multiply
    91,597x = 126,403.86 × 51,853
  4. Step 4: Simplify right side
    91,597x = 6,554,419,352.58
  5. Step 5: Solve for x
    x = 6,554,419,352.58/91,597
  6. Step 6: Final answer
    x = 71,557.14

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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.