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Finding the Fourth Proportional to 47,154.38, 65,073.47 and 25,644.32

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Solution

The fourth proportional to 47,154.38, 65,073.47 and 25,644.32 is: 35,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,154.38 : 65,073.47 = 25,644.32 : x
  2. Step 2: Convert to fraction form
    47,154.38/65,073.47 = 25,644.32/x
  3. Step 3: Cross multiply
    47,154.38x = 65,073.47 × 25,644.32
  4. Step 4: Simplify right side
    47,154.38x = 1,668,765,188.91
  5. Step 5: Solve for x
    x = 1,668,765,188.91/47,154.38
  6. Step 6: Final answer
    x = 35,389.40

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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.