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Finding the Fourth Proportional to 48,404.76, 66,798 and 27,184.20

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Solution

The fourth proportional to 48,404.76, 66,798 and 27,184.20 is: 37,513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,404.76 : 66,798 = 27,184.20 : x
  2. Step 2: Convert to fraction form
    48,404.76/66,798 = 27,184.20/x
  3. Step 3: Cross multiply
    48,404.76x = 66,798 × 27,184.20
  4. Step 4: Simplify right side
    48,404.76x = 1,815,850,191.60
  5. Step 5: Solve for x
    x = 1,815,850,191.60/48,404.76
  6. Step 6: Final answer
    x = 37,513.88

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1.5x scale

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.