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Finding the Fourth Proportional to 47,878.56, 66,069.54 and 27,734.13

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Solution

The fourth proportional to 47,878.56, 66,069.54 and 27,734.13 is: 38,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,878.56 : 66,069.54 = 27,734.13 : x
  2. Step 2: Convert to fraction form
    47,878.56/66,069.54 = 27,734.13/x
  3. Step 3: Cross multiply
    47,878.56x = 66,069.54 × 27,734.13
  4. Step 4: Simplify right side
    47,878.56x = 1,832,381,211.40
  5. Step 5: Solve for x
    x = 1,832,381,211.40/47,878.56
  6. Step 6: Final answer
    x = 38,271.44

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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.