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Finding the Fourth Proportional to 31,959.26, 47,941.11 and 9,770.93

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Solution

The fourth proportional to 31,959.26, 47,941.11 and 9,770.93 is: 14,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,959.26 : 47,941.11 = 9,770.93 : x
  2. Step 2: Convert to fraction form
    31,959.26/47,941.11 = 9,770.93/x
  3. Step 3: Cross multiply
    31,959.26x = 47,941.11 × 9,770.93
  4. Step 4: Simplify right side
    31,959.26x = 468,428,990.23
  5. Step 5: Solve for x
    x = 468,428,990.23/31,959.26
  6. Step 6: Final answer
    x = 14,657.07

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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.