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Finding the Fourth Proportional to 54,547.60, 81,778.20 and 29,923.60

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Solution

The fourth proportional to 54,547.60, 81,778.20 and 29,923.60 is: 44,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,547.60 : 81,778.20 = 29,923.60 : x
  2. Step 2: Convert to fraction form
    54,547.60/81,778.20 = 29,923.60/x
  3. Step 3: Cross multiply
    54,547.60x = 81,778.20 × 29,923.60
  4. Step 4: Simplify right side
    54,547.60x = 2,447,098,145.52
  5. Step 5: Solve for x
    x = 2,447,098,145.52/54,547.60
  6. Step 6: Final answer
    x = 44,861.70

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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.