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Finding the Fourth Proportional to 91,353.60, 137,091.60 and 32,189.40

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Solution

The fourth proportional to 91,353.60, 137,091.60 and 32,189.40 is: 48,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,353.60 : 137,091.60 = 32,189.40 : x
  2. Step 2: Convert to fraction form
    91,353.60/137,091.60 = 32,189.40/x
  3. Step 3: Cross multiply
    91,353.60x = 137,091.60 × 32,189.40
  4. Step 4: Simplify right side
    91,353.60x = 4,412,896,349.04
  5. Step 5: Solve for x
    x = 4,412,896,349.04/91,353.60
  6. Step 6: Final answer
    x = 48,305.66

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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.