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Finding the Fourth Proportional to 92,582.86, 127,713.19 and 75,373.74

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Solution

The fourth proportional to 92,582.86, 127,713.19 and 75,373.74 is: 103,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,582.86 : 127,713.19 = 75,373.74 : x
  2. Step 2: Convert to fraction form
    92,582.86/127,713.19 = 75,373.74/x
  3. Step 3: Cross multiply
    92,582.86x = 127,713.19 × 75,373.74
  4. Step 4: Simplify right side
    92,582.86x = 9,626,220,777.63
  5. Step 5: Solve for x
    x = 9,626,220,777.63/92,582.86
  6. Step 6: Final answer
    x = 103,974.11

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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.