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Finding the Fourth Proportional to 31,056, 46,591.29 and 10,279.50

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Solution

The fourth proportional to 31,056, 46,591.29 and 10,279.50 is: 15,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056 : 46,591.29 = 10,279.50 : x
  2. Step 2: Convert to fraction form
    31,056/46,591.29 = 10,279.50/x
  3. Step 3: Cross multiply
    31,056x = 46,591.29 × 10,279.50
  4. Step 4: Simplify right side
    31,056x = 478,935,165.56
  5. Step 5: Solve for x
    x = 478,935,165.56/31,056
  6. Step 6: Final answer
    x = 15,421.66

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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.