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Finding the Fourth Proportional to 48,851.84, 67,428.48 and 33,747.20

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Solution

The fourth proportional to 48,851.84, 67,428.48 and 33,747.20 is: 46,580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,851.84 : 67,428.48 = 33,747.20 : x
  2. Step 2: Convert to fraction form
    48,851.84/67,428.48 = 33,747.20/x
  3. Step 3: Cross multiply
    48,851.84x = 67,428.48 × 33,747.20
  4. Step 4: Simplify right side
    48,851.84x = 2,275,522,400.26
  5. Step 5: Solve for x
    x = 2,275,522,400.26/48,851.84
  6. Step 6: Final answer
    x = 46,580.08

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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.