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Finding the Fourth Proportional to 100,410.42, 138,565.22 and 57,968.04

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Solution

The fourth proportional to 100,410.42, 138,565.22 and 57,968.04 is: 79,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410.42 : 138,565.22 = 57,968.04 : x
  2. Step 2: Convert to fraction form
    100,410.42/138,565.22 = 57,968.04/x
  3. Step 3: Cross multiply
    100,410.42x = 138,565.22 × 57,968.04
  4. Step 4: Simplify right side
    100,410.42x = 8,032,353,925.73
  5. Step 5: Solve for x
    x = 8,032,353,925.73/100,410.42
  6. Step 6: Final answer
    x = 79,995.22

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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.