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Finding the Fourth Proportional to 92,722.52, 127,959.27 and 56,411.48

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Solution

The fourth proportional to 92,722.52, 127,959.27 and 56,411.48 is: 77,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,722.52 : 127,959.27 = 56,411.48 : x
  2. Step 2: Convert to fraction form
    92,722.52/127,959.27 = 56,411.48/x
  3. Step 3: Cross multiply
    92,722.52x = 127,959.27 × 56,411.48
  4. Step 4: Simplify right side
    92,722.52x = 7,218,371,800.42
  5. Step 5: Solve for x
    x = 7,218,371,800.42/92,722.52
  6. Step 6: Final answer
    x = 77,849.18

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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.