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Finding the Fourth Proportional to 47,046.80, 70,547.52 and 27,331

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Solution

The fourth proportional to 47,046.80, 70,547.52 and 27,331 is: 40,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,046.80 : 70,547.52 = 27,331 : x
  2. Step 2: Convert to fraction form
    47,046.80/70,547.52 = 27,331/x
  3. Step 3: Cross multiply
    47,046.80x = 70,547.52 × 27,331
  4. Step 4: Simplify right side
    47,046.80x = 1,928,134,269.12
  5. Step 5: Solve for x
    x = 1,928,134,269.12/47,046.80
  6. Step 6: Final answer
    x = 40,983.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.