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Finding the Fourth Proportional to 74,984.64, 103,473.60 and 41,448

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Solution

The fourth proportional to 74,984.64, 103,473.60 and 41,448 is: 57,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,984.64 : 103,473.60 = 41,448 : x
  2. Step 2: Convert to fraction form
    74,984.64/103,473.60 = 41,448/x
  3. Step 3: Cross multiply
    74,984.64x = 103,473.60 × 41,448
  4. Step 4: Simplify right side
    74,984.64x = 4,288,773,772.80
  5. Step 5: Solve for x
    x = 4,288,773,772.80/74,984.64
  6. Step 6: Final answer
    x = 57,195.36

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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.