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Finding the Fourth Proportional to 70,213.14, 96,894.00 and 38,382.04

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Solution

The fourth proportional to 70,213.14, 96,894.00 and 38,382.04 is: 52,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,213.14 : 96,894.00 = 38,382.04 : x
  2. Step 2: Convert to fraction form
    70,213.14/96,894.00 = 38,382.04/x
  3. Step 3: Cross multiply
    70,213.14x = 96,894.00 × 38,382.04
  4. Step 4: Simplify right side
    70,213.14x = 3,718,988,851.90
  5. Step 5: Solve for x
    x = 3,718,988,851.90/70,213.14
  6. Step 6: Final answer
    x = 52,967.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.