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Finding the Fourth Proportional to 56,107.40, 84,113.98 and 24,493.42

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Solution

The fourth proportional to 56,107.40, 84,113.98 and 24,493.42 is: 36,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,107.40 : 84,113.98 = 24,493.42 : x
  2. Step 2: Convert to fraction form
    56,107.40/84,113.98 = 24,493.42/x
  3. Step 3: Cross multiply
    56,107.40x = 84,113.98 × 24,493.42
  4. Step 4: Simplify right side
    56,107.40x = 2,060,239,040.01
  5. Step 5: Solve for x
    x = 2,060,239,040.01/56,107.40
  6. Step 6: Final answer
    x = 36,719.56

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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.