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Finding the Fourth Proportional to 31,337, 47,007.93 and 10,560.50

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Solution

The fourth proportional to 31,337, 47,007.93 and 10,560.50 is: 15,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,337 : 47,007.93 = 10,560.50 : x
  2. Step 2: Convert to fraction form
    31,337/47,007.93 = 10,560.50/x
  3. Step 3: Cross multiply
    31,337x = 47,007.93 × 10,560.50
  4. Step 4: Simplify right side
    31,337x = 496,427,244.77
  5. Step 5: Solve for x
    x = 496,427,244.77/31,337
  6. Step 6: Final answer
    x = 15,841.57

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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.