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Finding the Fourth Proportional to 70,907.24, 97,850.72 and 38,642.15

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Solution

The fourth proportional to 70,907.24, 97,850.72 and 38,642.15 is: 53,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,907.24 : 97,850.72 = 38,642.15 : x
  2. Step 2: Convert to fraction form
    70,907.24/97,850.72 = 38,642.15/x
  3. Step 3: Cross multiply
    70,907.24x = 97,850.72 × 38,642.15
  4. Step 4: Simplify right side
    70,907.24x = 3,781,161,517.38
  5. Step 5: Solve for x
    x = 3,781,161,517.38/70,907.24
  6. Step 6: Final answer
    x = 53,325.47

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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.