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Finding the Fourth Proportional to 31,372.50, 47,048.78 and 10,307.69

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Solution

The fourth proportional to 31,372.50, 47,048.78 and 10,307.69 is: 15,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,372.50 : 47,048.78 = 10,307.69 : x
  2. Step 2: Convert to fraction form
    31,372.50/47,048.78 = 10,307.69/x
  3. Step 3: Cross multiply
    31,372.50x = 47,048.78 × 10,307.69
  4. Step 4: Simplify right side
    31,372.50x = 484,964,201.34
  5. Step 5: Solve for x
    x = 484,964,201.34/31,372.50
  6. Step 6: Final answer
    x = 15,458.26

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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.