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Finding the Fourth Proportional to 82,248.48, 123,423.48 and 32,319.81

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Solution

The fourth proportional to 82,248.48, 123,423.48 and 32,319.81 is: 48,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,248.48 : 123,423.48 = 32,319.81 : x
  2. Step 2: Convert to fraction form
    82,248.48/123,423.48 = 32,319.81/x
  3. Step 3: Cross multiply
    82,248.48x = 123,423.48 × 32,319.81
  4. Step 4: Simplify right side
    82,248.48x = 3,989,023,423.14
  5. Step 5: Solve for x
    x = 3,989,023,423.14/82,248.48
  6. Step 6: Final answer
    x = 48,499.66

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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.