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Finding the Fourth Proportional to 31,407.98, 43,307.67 and 24,221.66

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Solution

The fourth proportional to 31,407.98, 43,307.67 and 24,221.66 is: 33,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.98 : 43,307.67 = 24,221.66 : x
  2. Step 2: Convert to fraction form
    31,407.98/43,307.67 = 24,221.66/x
  3. Step 3: Cross multiply
    31,407.98x = 43,307.67 × 24,221.66
  4. Step 4: Simplify right side
    31,407.98x = 1,048,983,658.13
  5. Step 5: Solve for x
    x = 1,048,983,658.13/31,407.98
  6. Step 6: Final answer
    x = 33,398.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.