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Finding the Fourth Proportional to 71,052.88, 98,056.56 and 47,138.80

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Solution

The fourth proportional to 71,052.88, 98,056.56 and 47,138.80 is: 65,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,052.88 : 98,056.56 = 47,138.80 : x
  2. Step 2: Convert to fraction form
    71,052.88/98,056.56 = 47,138.80/x
  3. Step 3: Cross multiply
    71,052.88x = 98,056.56 × 47,138.80
  4. Step 4: Simplify right side
    71,052.88x = 4,622,268,570.53
  5. Step 5: Solve for x
    x = 4,622,268,570.53/71,052.88
  6. Step 6: Final answer
    x = 65,053.92

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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.