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Finding the Fourth Proportional to 47,980.59, 66,191.81 and 27,825.81

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Solution

The fourth proportional to 47,980.59, 66,191.81 and 27,825.81 is: 38,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980.59 : 66,191.81 = 27,825.81 : x
  2. Step 2: Convert to fraction form
    47,980.59/66,191.81 = 27,825.81/x
  3. Step 3: Cross multiply
    47,980.59x = 66,191.81 × 27,825.81
  4. Step 4: Simplify right side
    47,980.59x = 1,841,840,589.49
  5. Step 5: Solve for x
    x = 1,841,840,589.49/47,980.59
  6. Step 6: Final answer
    x = 38,387.20

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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.