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Finding the Fourth Proportional to 47,240.85, 70,865.04 and 15,649.64

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Solution

The fourth proportional to 47,240.85, 70,865.04 and 15,649.64 is: 23,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,240.85 : 70,865.04 = 15,649.64 : x
  2. Step 2: Convert to fraction form
    47,240.85/70,865.04 = 15,649.64/x
  3. Step 3: Cross multiply
    47,240.85x = 70,865.04 × 15,649.64
  4. Step 4: Simplify right side
    47,240.85x = 1,109,012,334.69
  5. Step 5: Solve for x
    x = 1,109,012,334.69/47,240.85
  6. Step 6: Final answer
    x = 23,475.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.