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Finding the Fourth Proportional to 31,393.17, 47,088.54 and 10,616.67

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Solution

The fourth proportional to 31,393.17, 47,088.54 and 10,616.67 is: 15,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393.17 : 47,088.54 = 10,616.67 : x
  2. Step 2: Convert to fraction form
    31,393.17/47,088.54 = 10,616.67/x
  3. Step 3: Cross multiply
    31,393.17x = 47,088.54 × 10,616.67
  4. Step 4: Simplify right side
    31,393.17x = 499,923,489.96
  5. Step 5: Solve for x
    x = 499,923,489.96/31,393.17
  6. Step 6: Final answer
    x = 15,924.59

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