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Finding the Fourth Proportional to 44,284.50, 61,112.88 and 24,412.50

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Solution

The fourth proportional to 44,284.50, 61,112.88 and 24,412.50 is: 33,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,284.50 : 61,112.88 = 24,412.50 : x
  2. Step 2: Convert to fraction form
    44,284.50/61,112.88 = 24,412.50/x
  3. Step 3: Cross multiply
    44,284.50x = 61,112.88 × 24,412.50
  4. Step 4: Simplify right side
    44,284.50x = 1,491,918,183
  5. Step 5: Solve for x
    x = 1,491,918,183/44,284.50
  6. Step 6: Final answer
    x = 33,689.40

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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.