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Finding the Fourth Proportional to 117,693.40, 176,475.30 and 47,493.40

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Solution

The fourth proportional to 117,693.40, 176,475.30 and 47,493.40 is: 71,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,693.40 : 176,475.30 = 47,493.40 : x
  2. Step 2: Convert to fraction form
    117,693.40/176,475.30 = 47,493.40/x
  3. Step 3: Cross multiply
    117,693.40x = 176,475.30 × 47,493.40
  4. Step 4: Simplify right side
    117,693.40x = 8,381,412,013.02
  5. Step 5: Solve for x
    x = 8,381,412,013.02/117,693.40
  6. Step 6: Final answer
    x = 71,213.95

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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.