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Finding the Fourth Proportional to 69,672.67, 96,148.56 and 37,842.10

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Solution

The fourth proportional to 69,672.67, 96,148.56 and 37,842.10 is: 52,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,672.67 : 96,148.56 = 37,842.10 : x
  2. Step 2: Convert to fraction form
    69,672.67/96,148.56 = 37,842.10/x
  3. Step 3: Cross multiply
    69,672.67x = 96,148.56 × 37,842.10
  4. Step 4: Simplify right side
    69,672.67x = 3,638,463,422.38
  5. Step 5: Solve for x
    x = 3,638,463,422.38/69,672.67
  6. Step 6: Final answer
    x = 52,222.25

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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.