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Finding the Fourth Proportional to 142,524.95, 213,794.31 and 37,344.02

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Solution

The fourth proportional to 142,524.95, 213,794.31 and 37,344.02 is: 56,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,524.95 : 213,794.31 = 37,344.02 : x
  2. Step 2: Convert to fraction form
    142,524.95/213,794.31 = 37,344.02/x
  3. Step 3: Cross multiply
    142,524.95x = 213,794.31 × 37,344.02
  4. Step 4: Simplify right side
    142,524.95x = 7,983,938,988.53
  5. Step 5: Solve for x
    x = 7,983,938,988.53/142,524.95
  6. Step 6: Final answer
    x = 56,017.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.