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Finding the Fourth Proportional to 47,713.10, 65,850 and 27,570.02

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Solution

The fourth proportional to 47,713.10, 65,850 and 27,570.02 is: 38,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,713.10 : 65,850 = 27,570.02 : x
  2. Step 2: Convert to fraction form
    47,713.10/65,850 = 27,570.02/x
  3. Step 3: Cross multiply
    47,713.10x = 65,850 × 27,570.02
  4. Step 4: Simplify right side
    47,713.10x = 1,815,485,817
  5. Step 5: Solve for x
    x = 1,815,485,817/47,713.10
  6. Step 6: Final answer
    x = 38,050.05

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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.