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Finding the Fourth Proportional to 47,882.98, 71,818.98 and 18,300.16

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Solution

The fourth proportional to 47,882.98, 71,818.98 and 18,300.16 is: 27,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,882.98 : 71,818.98 = 18,300.16 : x
  2. Step 2: Convert to fraction form
    47,882.98/71,818.98 = 18,300.16/x
  3. Step 3: Cross multiply
    47,882.98x = 71,818.98 × 18,300.16
  4. Step 4: Simplify right side
    47,882.98x = 1,314,298,825.04
  5. Step 5: Solve for x
    x = 1,314,298,825.04/47,882.98
  6. Step 6: Final answer
    x = 27,448.14

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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.