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Finding the Fourth Proportional to 31,953, 47,937.30 and 10,065

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Solution

The fourth proportional to 31,953, 47,937.30 and 10,065 is: 15,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953 : 47,937.30 = 10,065 : x
  2. Step 2: Convert to fraction form
    31,953/47,937.30 = 10,065/x
  3. Step 3: Cross multiply
    31,953x = 47,937.30 × 10,065
  4. Step 4: Simplify right side
    31,953x = 482,488,924.50
  5. Step 5: Solve for x
    x = 482,488,924.50/31,953
  6. Step 6: Final answer
    x = 15,099.96

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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.