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Finding the Fourth Proportional to 92,089.92, 137,837.76 and 47,655.60

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Solution

The fourth proportional to 92,089.92, 137,837.76 and 47,655.60 is: 71,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,089.92 : 137,837.76 = 47,655.60 : x
  2. Step 2: Convert to fraction form
    92,089.92/137,837.76 = 47,655.60/x
  3. Step 3: Cross multiply
    92,089.92x = 137,837.76 × 47,655.60
  4. Step 4: Simplify right side
    92,089.92x = 6,568,741,155.46
  5. Step 5: Solve for x
    x = 6,568,741,155.46/92,089.92
  6. Step 6: Final answer
    x = 71,329.64

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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.