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Finding the Fourth Proportional to 86,966.40, 130,276.80 and 47,452.80

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Solution

The fourth proportional to 86,966.40, 130,276.80 and 47,452.80 is: 71,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,966.40 : 130,276.80 = 47,452.80 : x
  2. Step 2: Convert to fraction form
    86,966.40/130,276.80 = 47,452.80/x
  3. Step 3: Cross multiply
    86,966.40x = 130,276.80 × 47,452.80
  4. Step 4: Simplify right side
    86,966.40x = 6,181,998,935.04
  5. Step 5: Solve for x
    x = 6,181,998,935.04/86,966.40
  6. Step 6: Final answer
    x = 71,084.91

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Why These Related Problems?

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