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Finding the Fourth Proportional to 92,134.40, 127,142.40 and 51,848.96

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Solution

The fourth proportional to 92,134.40, 127,142.40 and 51,848.96 is: 71,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,134.40 : 127,142.40 = 51,848.96 : x
  2. Step 2: Convert to fraction form
    92,134.40/127,142.40 = 51,848.96/x
  3. Step 3: Cross multiply
    92,134.40x = 127,142.40 × 51,848.96
  4. Step 4: Simplify right side
    92,134.40x = 6,592,201,211.90
  5. Step 5: Solve for x
    x = 6,592,201,211.90/92,134.40
  6. Step 6: Final answer
    x = 71,549.84

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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.