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Finding the Fourth Proportional to 30,470.68, 42,049.86 and 17,895.64

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Solution

The fourth proportional to 30,470.68, 42,049.86 and 17,895.64 is: 24,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.68 : 42,049.86 = 17,895.64 : x
  2. Step 2: Convert to fraction form
    30,470.68/42,049.86 = 17,895.64/x
  3. Step 3: Cross multiply
    30,470.68x = 42,049.86 × 17,895.64
  4. Step 4: Simplify right side
    30,470.68x = 752,509,156.61
  5. Step 5: Solve for x
    x = 752,509,156.61/30,470.68
  6. Step 6: Final answer
    x = 24,696.17

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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.