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Finding the Fourth Proportional to 69,851.68, 96,392.74 and 38,019.90

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Solution

The fourth proportional to 69,851.68, 96,392.74 and 38,019.90 is: 52,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,851.68 : 96,392.74 = 38,019.90 : x
  2. Step 2: Convert to fraction form
    69,851.68/96,392.74 = 38,019.90/x
  3. Step 3: Cross multiply
    69,851.68x = 96,392.74 × 38,019.90
  4. Step 4: Simplify right side
    69,851.68x = 3,664,842,335.53
  5. Step 5: Solve for x
    x = 3,664,842,335.53/69,851.68
  6. Step 6: Final answer
    x = 52,466.06

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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.