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Finding the Fourth Proportional to 49,308.80, 73,948.80 and 17,715.20

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Solution

The fourth proportional to 49,308.80, 73,948.80 and 17,715.20 is: 26,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,308.80 : 73,948.80 = 17,715.20 : x
  2. Step 2: Convert to fraction form
    49,308.80/73,948.80 = 17,715.20/x
  3. Step 3: Cross multiply
    49,308.80x = 73,948.80 × 17,715.20
  4. Step 4: Simplify right side
    49,308.80x = 1,310,017,781.76
  5. Step 5: Solve for x
    x = 1,310,017,781.76/49,308.80
  6. Step 6: Final answer
    x = 26,567.63

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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.