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Finding the Fourth Proportional to 44,282.50, 61,109.85 and 27,515.50

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Solution

The fourth proportional to 44,282.50, 61,109.85 and 27,515.50 is: 37,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,282.50 : 61,109.85 = 27,515.50 : x
  2. Step 2: Convert to fraction form
    44,282.50/61,109.85 = 27,515.50/x
  3. Step 3: Cross multiply
    44,282.50x = 61,109.85 × 27,515.50
  4. Step 4: Simplify right side
    44,282.50x = 1,681,468,077.68
  5. Step 5: Solve for x
    x = 1,681,468,077.68/44,282.50
  6. Step 6: Final answer
    x = 37,971.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.