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Finding the Fourth Proportional to 92,041.02, 138,164.02 and 47,655.86

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Solution

The fourth proportional to 92,041.02, 138,164.02 and 47,655.86 is: 71,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,041.02 : 138,164.02 = 47,655.86 : x
  2. Step 2: Convert to fraction form
    92,041.02/138,164.02 = 47,655.86/x
  3. Step 3: Cross multiply
    92,041.02x = 138,164.02 × 47,655.86
  4. Step 4: Simplify right side
    92,041.02x = 6,584,324,384.20
  5. Step 5: Solve for x
    x = 6,584,324,384.20/92,041.02
  6. Step 6: Final answer
    x = 71,536.85

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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.