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Finding the Fourth Proportional to 31,509.43, 43,482.80 and 17,362.27

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Solution

The fourth proportional to 31,509.43, 43,482.80 and 17,362.27 is: 23,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.43 : 43,482.80 = 17,362.27 : x
  2. Step 2: Convert to fraction form
    31,509.43/43,482.80 = 17,362.27/x
  3. Step 3: Cross multiply
    31,509.43x = 43,482.80 × 17,362.27
  4. Step 4: Simplify right side
    31,509.43x = 754,960,285.18
  5. Step 5: Solve for x
    x = 754,960,285.18/31,509.43
  6. Step 6: Final answer
    x = 23,959.82

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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.