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Finding the Fourth Proportional to 31,566.34, 43,561.70 and 17,419.17

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Solution

The fourth proportional to 31,566.34, 43,561.70 and 17,419.17 is: 24,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566.34 : 43,561.70 = 17,419.17 : x
  2. Step 2: Convert to fraction form
    31,566.34/43,561.70 = 17,419.17/x
  3. Step 3: Cross multiply
    31,566.34x = 43,561.70 × 17,419.17
  4. Step 4: Simplify right side
    31,566.34x = 758,808,657.79
  5. Step 5: Solve for x
    x = 758,808,657.79/31,566.34
  6. Step 6: Final answer
    x = 24,038.54

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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.