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Finding the Fourth Proportional to 47,290.38, 65,253.51 and 28,164.30

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Solution

The fourth proportional to 47,290.38, 65,253.51 and 28,164.30 is: 38,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,290.38 : 65,253.51 = 28,164.30 : x
  2. Step 2: Convert to fraction form
    47,290.38/65,253.51 = 28,164.30/x
  3. Step 3: Cross multiply
    47,290.38x = 65,253.51 × 28,164.30
  4. Step 4: Simplify right side
    47,290.38x = 1,837,819,431.69
  5. Step 5: Solve for x
    x = 1,837,819,431.69/47,290.38
  6. Step 6: Final answer
    x = 38,862.44

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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.