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Finding the Fourth Proportional to 92,744.48, 127,978.92 and 52,461.92

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Solution

The fourth proportional to 92,744.48, 127,978.92 and 52,461.92 is: 72,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,744.48 : 127,978.92 = 52,461.92 : x
  2. Step 2: Convert to fraction form
    92,744.48/127,978.92 = 52,461.92/x
  3. Step 3: Cross multiply
    92,744.48x = 127,978.92 × 52,461.92
  4. Step 4: Simplify right side
    92,744.48x = 6,714,019,862.73
  5. Step 5: Solve for x
    x = 6,714,019,862.73/92,744.48
  6. Step 6: Final answer
    x = 72,392.66

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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.