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Finding the Fourth Proportional to 31,423.99, 47,125.96 and 10,360.10

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Solution

The fourth proportional to 31,423.99, 47,125.96 and 10,360.10 is: 15,536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,423.99 : 47,125.96 = 10,360.10 : x
  2. Step 2: Convert to fraction form
    31,423.99/47,125.96 = 10,360.10/x
  3. Step 3: Cross multiply
    31,423.99x = 47,125.96 × 10,360.10
  4. Step 4: Simplify right side
    31,423.99x = 488,229,658.20
  5. Step 5: Solve for x
    x = 488,229,658.20/31,423.99
  6. Step 6: Final answer
    x = 15,536.84

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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.