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Finding the Fourth Proportional to 100,029.60, 149,842.80 and 62,474.40

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Solution

The fourth proportional to 100,029.60, 149,842.80 and 62,474.40 is: 93,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029.60 : 149,842.80 = 62,474.40 : x
  2. Step 2: Convert to fraction form
    100,029.60/149,842.80 = 62,474.40/x
  3. Step 3: Cross multiply
    100,029.60x = 149,842.80 × 62,474.40
  4. Step 4: Simplify right side
    100,029.60x = 9,361,339,024.32
  5. Step 5: Solve for x
    x = 9,361,339,024.32/100,029.60
  6. Step 6: Final answer
    x = 93,585.69

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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.