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Finding the Fourth Proportional to 92,564.12, 138,741.18 and 42,540.82

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Solution

The fourth proportional to 92,564.12, 138,741.18 and 42,540.82 is: 63,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,564.12 : 138,741.18 = 42,540.82 : x
  2. Step 2: Convert to fraction form
    92,564.12/138,741.18 = 42,540.82/x
  3. Step 3: Cross multiply
    92,564.12x = 138,741.18 × 42,540.82
  4. Step 4: Simplify right side
    92,564.12x = 5,902,163,568.44
  5. Step 5: Solve for x
    x = 5,902,163,568.44/92,564.12
  6. Step 6: Final answer
    x = 63,762.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.