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Finding the Fourth Proportional to 103,854.33, 155,796.45 and 32,752.80

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Solution

The fourth proportional to 103,854.33, 155,796.45 and 32,752.80 is: 49,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,854.33 : 155,796.45 = 32,752.80 : x
  2. Step 2: Convert to fraction form
    103,854.33/155,796.45 = 32,752.80/x
  3. Step 3: Cross multiply
    103,854.33x = 155,796.45 × 32,752.80
  4. Step 4: Simplify right side
    103,854.33x = 5,102,769,967.56
  5. Step 5: Solve for x
    x = 5,102,769,967.56/103,854.33
  6. Step 6: Final answer
    x = 49,133.92

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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.