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Finding the Fourth Proportional to 29,231.98, 43,830.45 and 13,417.24

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Solution

The fourth proportional to 29,231.98, 43,830.45 and 13,417.24 is: 20,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,231.98 : 43,830.45 = 13,417.24 : x
  2. Step 2: Convert to fraction form
    29,231.98/43,830.45 = 13,417.24/x
  3. Step 3: Cross multiply
    29,231.98x = 43,830.45 × 13,417.24
  4. Step 4: Simplify right side
    29,231.98x = 588,083,447.81
  5. Step 5: Solve for x
    x = 588,083,447.81/29,231.98
  6. Step 6: Final answer
    x = 20,117.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.