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Finding the Fourth Proportional to 92,648.61, 127,862.96 and 77,514.57

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Solution

The fourth proportional to 92,648.61, 127,862.96 and 77,514.57 is: 106,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,648.61 : 127,862.96 = 77,514.57 : x
  2. Step 2: Convert to fraction form
    92,648.61/127,862.96 = 77,514.57/x
  3. Step 3: Cross multiply
    92,648.61x = 127,862.96 × 77,514.57
  4. Step 4: Simplify right side
    92,648.61x = 9,911,241,975.75
  5. Step 5: Solve for x
    x = 9,911,241,975.75/92,648.61
  6. Step 6: Final answer
    x = 106,976.69

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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.