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Finding the Fourth Proportional to 47,151.66, 65,069.28 and 25,930.74

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Solution

The fourth proportional to 47,151.66, 65,069.28 and 25,930.74 is: 35,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,151.66 : 65,069.28 = 25,930.74 : x
  2. Step 2: Convert to fraction form
    47,151.66/65,069.28 = 25,930.74/x
  3. Step 3: Cross multiply
    47,151.66x = 65,069.28 × 25,930.74
  4. Step 4: Simplify right side
    47,151.66x = 1,687,294,581.67
  5. Step 5: Solve for x
    x = 1,687,294,581.67/47,151.66
  6. Step 6: Final answer
    x = 35,784.42

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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.