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Finding the Fourth Proportional to 51,047.40, 70,447.13 and 28,078.20

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Solution

The fourth proportional to 51,047.40, 70,447.13 and 28,078.20 is: 38,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,047.40 : 70,447.13 = 28,078.20 : x
  2. Step 2: Convert to fraction form
    51,047.40/70,447.13 = 28,078.20/x
  3. Step 3: Cross multiply
    51,047.40x = 70,447.13 × 28,078.20
  4. Step 4: Simplify right side
    51,047.40x = 1,978,028,306.29
  5. Step 5: Solve for x
    x = 1,978,028,306.29/51,047.40
  6. Step 6: Final answer
    x = 38,748.85

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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.