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Finding the Fourth Proportional to 31,888.22, 47,834.31 and 9,703.22

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Solution

The fourth proportional to 31,888.22, 47,834.31 and 9,703.22 is: 14,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.22 : 47,834.31 = 9,703.22 : x
  2. Step 2: Convert to fraction form
    31,888.22/47,834.31 = 9,703.22/x
  3. Step 3: Cross multiply
    31,888.22x = 47,834.31 × 9,703.22
  4. Step 4: Simplify right side
    31,888.22x = 464,146,833.48
  5. Step 5: Solve for x
    x = 464,146,833.48/31,888.22
  6. Step 6: Final answer
    x = 14,555.43

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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.