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Finding the Fourth Proportional to 91,457.24, 137,202.24 and 32,327.24

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Solution

The fourth proportional to 91,457.24, 137,202.24 and 32,327.24 is: 48,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,457.24 : 137,202.24 = 32,327.24 : x
  2. Step 2: Convert to fraction form
    91,457.24/137,202.24 = 32,327.24/x
  3. Step 3: Cross multiply
    91,457.24x = 137,202.24 × 32,327.24
  4. Step 4: Simplify right side
    91,457.24x = 4,435,369,741.02
  5. Step 5: Solve for x
    x = 4,435,369,741.02/91,457.24
  6. Step 6: Final answer
    x = 48,496.65

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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.