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Finding the Fourth Proportional to 86,382, 129,573 and 24,054.12

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Solution

The fourth proportional to 86,382, 129,573 and 24,054.12 is: 36,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,382 : 129,573 = 24,054.12 : x
  2. Step 2: Convert to fraction form
    86,382/129,573 = 24,054.12/x
  3. Step 3: Cross multiply
    86,382x = 129,573 × 24,054.12
  4. Step 4: Simplify right side
    86,382x = 3,116,764,490.76
  5. Step 5: Solve for x
    x = 3,116,764,490.76/86,382
  6. Step 6: Final answer
    x = 36,081.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.