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Finding the Fourth Proportional to 37,261.62, 51,442.29 and 24,703.38

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Solution

The fourth proportional to 37,261.62, 51,442.29 and 24,703.38 is: 34,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,261.62 : 51,442.29 = 24,703.38 : x
  2. Step 2: Convert to fraction form
    37,261.62/51,442.29 = 24,703.38/x
  3. Step 3: Cross multiply
    37,261.62x = 51,442.29 × 24,703.38
  4. Step 4: Simplify right side
    37,261.62x = 1,270,798,437.94
  5. Step 5: Solve for x
    x = 1,270,798,437.94/37,261.62
  6. Step 6: Final answer
    x = 34,104.76

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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.