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Finding the Fourth Proportional to 91,448.74, 137,189.49 and 32,318.74

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Solution

The fourth proportional to 91,448.74, 137,189.49 and 32,318.74 is: 48,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,448.74 : 137,189.49 = 32,318.74 : x
  2. Step 2: Convert to fraction form
    91,448.74/137,189.49 = 32,318.74/x
  3. Step 3: Cross multiply
    91,448.74x = 137,189.49 × 32,318.74
  4. Step 4: Simplify right side
    91,448.74x = 4,433,791,458.04
  5. Step 5: Solve for x
    x = 4,433,791,458.04/91,448.74
  6. Step 6: Final answer
    x = 48,483.90

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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.