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Finding the Fourth Proportional to 44,038, 66,057 and 12,873.25

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Solution

The fourth proportional to 44,038, 66,057 and 12,873.25 is: 19,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,038 : 66,057 = 12,873.25 : x
  2. Step 2: Convert to fraction form
    44,038/66,057 = 12,873.25/x
  3. Step 3: Cross multiply
    44,038x = 66,057 × 12,873.25
  4. Step 4: Simplify right side
    44,038x = 850,368,275.25
  5. Step 5: Solve for x
    x = 850,368,275.25/44,038
  6. Step 6: Final answer
    x = 19,309.88

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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.