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Finding the Fourth Proportional to 49,508.80, 74,320.80 and 29,809.60

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Solution

The fourth proportional to 49,508.80, 74,320.80 and 29,809.60 is: 44,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,508.80 : 74,320.80 = 29,809.60 : x
  2. Step 2: Convert to fraction form
    49,508.80/74,320.80 = 29,809.60/x
  3. Step 3: Cross multiply
    49,508.80x = 74,320.80 × 29,809.60
  4. Step 4: Simplify right side
    49,508.80x = 2,215,473,319.68
  5. Step 5: Solve for x
    x = 2,215,473,319.68/49,508.80
  6. Step 6: Final answer
    x = 44,749.08

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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.