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Finding the Fourth Proportional to 31,850, 47,775.10 and 9,663.56

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Solution

The fourth proportional to 31,850, 47,775.10 and 9,663.56 is: 14,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,850 : 47,775.10 = 9,663.56 : x
  2. Step 2: Convert to fraction form
    31,850/47,775.10 = 9,663.56/x
  3. Step 3: Cross multiply
    31,850x = 47,775.10 × 9,663.56
  4. Step 4: Simplify right side
    31,850x = 461,677,545.36
  5. Step 5: Solve for x
    x = 461,677,545.36/31,850
  6. Step 6: Final answer
    x = 14,495.37

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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.