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Finding the Fourth Proportional to 92,047.40, 137,983.60 and 58,673.80

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Solution

The fourth proportional to 92,047.40, 137,983.60 and 58,673.80 is: 87,954.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,047.40 : 137,983.60 = 58,673.80 : x
  2. Step 2: Convert to fraction form
    92,047.40/137,983.60 = 58,673.80/x
  3. Step 3: Cross multiply
    92,047.40x = 137,983.60 × 58,673.80
  4. Step 4: Simplify right side
    92,047.40x = 8,096,022,149.68
  5. Step 5: Solve for x
    x = 8,096,022,149.68/92,047.40
  6. Step 6: Final answer
    x = 87,954.92

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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.