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Finding the Fourth Proportional to 44,542, 66,754.50 and 24,829.84

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Solution

The fourth proportional to 44,542, 66,754.50 and 24,829.84 is: 37,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,542 : 66,754.50 = 24,829.84 : x
  2. Step 2: Convert to fraction form
    44,542/66,754.50 = 24,829.84/x
  3. Step 3: Cross multiply
    44,542x = 66,754.50 × 24,829.84
  4. Step 4: Simplify right side
    44,542x = 1,657,503,554.28
  5. Step 5: Solve for x
    x = 1,657,503,554.28/44,542
  6. Step 6: Final answer
    x = 37,212.15

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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.