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Finding the Fourth Proportional to 47,200.71, 65,138.72 and 25,980.87

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Solution

The fourth proportional to 47,200.71, 65,138.72 and 25,980.87 is: 35,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200.71 : 65,138.72 = 25,980.87 : x
  2. Step 2: Convert to fraction form
    47,200.71/65,138.72 = 25,980.87/x
  3. Step 3: Cross multiply
    47,200.71x = 65,138.72 × 25,980.87
  4. Step 4: Simplify right side
    47,200.71x = 1,692,360,486.38
  5. Step 5: Solve for x
    x = 1,692,360,486.38/47,200.71
  6. Step 6: Final answer
    x = 35,854.56

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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.