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Finding the Fourth Proportional to 47,392.32, 71,062.02 and 29,824.50

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Solution

The fourth proportional to 47,392.32, 71,062.02 and 29,824.50 is: 44,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,392.32 : 71,062.02 = 29,824.50 : x
  2. Step 2: Convert to fraction form
    47,392.32/71,062.02 = 29,824.50/x
  3. Step 3: Cross multiply
    47,392.32x = 71,062.02 × 29,824.50
  4. Step 4: Simplify right side
    47,392.32x = 2,119,389,215.49
  5. Step 5: Solve for x
    x = 2,119,389,215.49/47,392.32
  6. Step 6: Final answer
    x = 44,720.10

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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.