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Finding the Fourth Proportional to 82,024.60, 123,036.90 and 71,656.60

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Solution

The fourth proportional to 82,024.60, 123,036.90 and 71,656.60 is: 107,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,024.60 : 123,036.90 = 71,656.60 : x
  2. Step 2: Convert to fraction form
    82,024.60/123,036.90 = 71,656.60/x
  3. Step 3: Cross multiply
    82,024.60x = 123,036.90 × 71,656.60
  4. Step 4: Simplify right side
    82,024.60x = 8,816,405,928.54
  5. Step 5: Solve for x
    x = 8,816,405,928.54/82,024.60
  6. Step 6: Final answer
    x = 107,484.90

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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.