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Finding the Fourth Proportional to 31,068.54, 42,872.94 and 17,639.46

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Solution

The fourth proportional to 31,068.54, 42,872.94 and 17,639.46 is: 24,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,068.54 : 42,872.94 = 17,639.46 : x
  2. Step 2: Convert to fraction form
    31,068.54/42,872.94 = 17,639.46/x
  3. Step 3: Cross multiply
    31,068.54x = 42,872.94 × 17,639.46
  4. Step 4: Simplify right side
    31,068.54x = 756,255,510.21
  5. Step 5: Solve for x
    x = 756,255,510.21/31,068.54
  6. Step 6: Final answer
    x = 24,341.52

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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.