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Finding the Fourth Proportional to 82,406.40, 123,532.80 and 57,446.40

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Solution

The fourth proportional to 82,406.40, 123,532.80 and 57,446.40 is: 86,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,406.40 : 123,532.80 = 57,446.40 : x
  2. Step 2: Convert to fraction form
    82,406.40/123,532.80 = 57,446.40/x
  3. Step 3: Cross multiply
    82,406.40x = 123,532.80 × 57,446.40
  4. Step 4: Simplify right side
    82,406.40x = 7,096,514,641.92
  5. Step 5: Solve for x
    x = 7,096,514,641.92/82,406.40
  6. Step 6: Final answer
    x = 86,116.06

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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.