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Finding the Fourth Proportional to 47,117.46, 65,023.38 and 25,897.08

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Solution

The fourth proportional to 47,117.46, 65,023.38 and 25,897.08 is: 35,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,117.46 : 65,023.38 = 25,897.08 : x
  2. Step 2: Convert to fraction form
    47,117.46/65,023.38 = 25,897.08/x
  3. Step 3: Cross multiply
    47,117.46x = 65,023.38 × 25,897.08
  4. Step 4: Simplify right side
    47,117.46x = 1,683,915,673.73
  5. Step 5: Solve for x
    x = 1,683,915,673.73/47,117.46
  6. Step 6: Final answer
    x = 35,738.68

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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.