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Finding the Fourth Proportional to 92,443.52, 127,564.80 and 52,167.08

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Solution

The fourth proportional to 92,443.52, 127,564.80 and 52,167.08 is: 71,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,443.52 : 127,564.80 = 52,167.08 : x
  2. Step 2: Convert to fraction form
    92,443.52/127,564.80 = 52,167.08/x
  3. Step 3: Cross multiply
    92,443.52x = 127,564.80 × 52,167.08
  4. Step 4: Simplify right side
    92,443.52x = 6,654,683,126.78
  5. Step 5: Solve for x
    x = 6,654,683,126.78/92,443.52
  6. Step 6: Final answer
    x = 71,986.47

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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.