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Finding the Fourth Proportional to 37,419.98, 51,656.37 and 24,680.66

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Solution

The fourth proportional to 37,419.98, 51,656.37 and 24,680.66 is: 34,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,419.98 : 51,656.37 = 24,680.66 : x
  2. Step 2: Convert to fraction form
    37,419.98/51,656.37 = 24,680.66/x
  3. Step 3: Cross multiply
    37,419.98x = 51,656.37 × 24,680.66
  4. Step 4: Simplify right side
    37,419.98x = 1,274,913,304.80
  5. Step 5: Solve for x
    x = 1,274,913,304.80/37,419.98
  6. Step 6: Final answer
    x = 34,070.39

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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.