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Finding the Fourth Proportional to 31,569.49, 43,565.74 and 17,423.20

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Solution

The fourth proportional to 31,569.49, 43,565.74 and 17,423.20 is: 24,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,569.49 : 43,565.74 = 17,423.20 : x
  2. Step 2: Convert to fraction form
    31,569.49/43,565.74 = 17,423.20/x
  3. Step 3: Cross multiply
    31,569.49x = 43,565.74 × 17,423.20
  4. Step 4: Simplify right side
    31,569.49x = 759,054,601.17
  5. Step 5: Solve for x
    x = 759,054,601.17/31,569.49
  6. Step 6: Final answer
    x = 24,043.93

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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.