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Finding the Fourth Proportional to 81,471.60, 122,207.40 and 46,479.60

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Solution

The fourth proportional to 81,471.60, 122,207.40 and 46,479.60 is: 69,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,471.60 : 122,207.40 = 46,479.60 : x
  2. Step 2: Convert to fraction form
    81,471.60/122,207.40 = 46,479.60/x
  3. Step 3: Cross multiply
    81,471.60x = 122,207.40 × 46,479.60
  4. Step 4: Simplify right side
    81,471.60x = 5,680,151,069.04
  5. Step 5: Solve for x
    x = 5,680,151,069.04/81,471.60
  6. Step 6: Final answer
    x = 69,719.40

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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.