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Finding the Fourth Proportional to 47,115.70, 65,019.84 and 25,894.50

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Solution

The fourth proportional to 47,115.70, 65,019.84 and 25,894.50 is: 35,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115.70 : 65,019.84 = 25,894.50 : x
  2. Step 2: Convert to fraction form
    47,115.70/65,019.84 = 25,894.50/x
  3. Step 3: Cross multiply
    47,115.70x = 65,019.84 × 25,894.50
  4. Step 4: Simplify right side
    47,115.70x = 1,683,656,246.88
  5. Step 5: Solve for x
    x = 1,683,656,246.88/47,115.70
  6. Step 6: Final answer
    x = 35,734.51

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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.