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Finding the Fourth Proportional to 70,167.36, 96,832.35 and 38,338.23

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Solution

The fourth proportional to 70,167.36, 96,832.35 and 38,338.23 is: 52,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,167.36 : 96,832.35 = 38,338.23 : x
  2. Step 2: Convert to fraction form
    70,167.36/96,832.35 = 38,338.23/x
  3. Step 3: Cross multiply
    70,167.36x = 96,832.35 × 38,338.23
  4. Step 4: Simplify right side
    70,167.36x = 3,712,380,905.74
  5. Step 5: Solve for x
    x = 3,712,380,905.74/70,167.36
  6. Step 6: Final answer
    x = 52,907.52

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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.