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Finding the Fourth Proportional to 31,084.72, 42,913.16 and 24,264.12

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Solution

The fourth proportional to 31,084.72, 42,913.16 and 24,264.12 is: 33,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,084.72 : 42,913.16 = 24,264.12 : x
  2. Step 2: Convert to fraction form
    31,084.72/42,913.16 = 24,264.12/x
  3. Step 3: Cross multiply
    31,084.72x = 42,913.16 × 24,264.12
  4. Step 4: Simplify right side
    31,084.72x = 1,041,250,063.82
  5. Step 5: Solve for x
    x = 1,041,250,063.82/31,084.72
  6. Step 6: Final answer
    x = 33,497.17

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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.