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Finding the Fourth Proportional to 31,124.19, 42,952.90 and 17,516.48

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Solution

The fourth proportional to 31,124.19, 42,952.90 and 17,516.48 is: 24,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.19 : 42,952.90 = 17,516.48 : x
  2. Step 2: Convert to fraction form
    31,124.19/42,952.90 = 17,516.48/x
  3. Step 3: Cross multiply
    31,124.19x = 42,952.90 × 17,516.48
  4. Step 4: Simplify right side
    31,124.19x = 752,383,570.00
  5. Step 5: Solve for x
    x = 752,383,570.00/31,124.19
  6. Step 6: Final answer
    x = 24,173.60

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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.