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Finding the Fourth Proportional to 92,051.60, 127,034.86 and 51,765.16

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Solution

The fourth proportional to 92,051.60, 127,034.86 and 51,765.16 is: 71,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,051.60 : 127,034.86 = 51,765.16 : x
  2. Step 2: Convert to fraction form
    92,051.60/127,034.86 = 51,765.16/x
  3. Step 3: Cross multiply
    92,051.60x = 127,034.86 × 51,765.16
  4. Step 4: Simplify right side
    92,051.60x = 6,575,979,853.48
  5. Step 5: Solve for x
    x = 6,575,979,853.48/92,051.60
  6. Step 6: Final answer
    x = 71,437.97

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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.