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Finding the Fourth Proportional to 82,167.40, 123,032.40 and 52,424.20

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Solution

The fourth proportional to 82,167.40, 123,032.40 and 52,424.20 is: 78,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,167.40 : 123,032.40 = 52,424.20 : x
  2. Step 2: Convert to fraction form
    82,167.40/123,032.40 = 52,424.20/x
  3. Step 3: Cross multiply
    82,167.40x = 123,032.40 × 52,424.20
  4. Step 4: Simplify right side
    82,167.40x = 6,449,875,144.08
  5. Step 5: Solve for x
    x = 6,449,875,144.08/82,167.40
  6. Step 6: Final answer
    x = 78,496.77

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1.5x scale

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.