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Finding the Fourth Proportional to 92,051.92, 137,911.02 and 42,173.74

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Solution

The fourth proportional to 92,051.92, 137,911.02 and 42,173.74 is: 63,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,051.92 : 137,911.02 = 42,173.74 : x
  2. Step 2: Convert to fraction form
    92,051.92/137,911.02 = 42,173.74/x
  3. Step 3: Cross multiply
    92,051.92x = 137,911.02 × 42,173.74
  4. Step 4: Simplify right side
    92,051.92x = 5,816,223,500.61
  5. Step 5: Solve for x
    x = 5,816,223,500.61/92,051.92
  6. Step 6: Final answer
    x = 63,184.16

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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.