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Finding the Fourth Proportional to 31,577.34, 43,576.81 and 17,430.19

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Solution

The fourth proportional to 31,577.34, 43,576.81 and 17,430.19 is: 24,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,577.34 : 43,576.81 = 17,430.19 : x
  2. Step 2: Convert to fraction form
    31,577.34/43,576.81 = 17,430.19/x
  3. Step 3: Cross multiply
    31,577.34x = 43,576.81 × 17,430.19
  4. Step 4: Simplify right side
    31,577.34x = 759,551,974.40
  5. Step 5: Solve for x
    x = 759,551,974.40/31,577.34
  6. Step 6: Final answer
    x = 24,053.70

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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.