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Finding the Fourth Proportional to 40,709.34, 56,178.91 and 24,793.80

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Solution

The fourth proportional to 40,709.34, 56,178.91 and 24,793.80 is: 34,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,709.34 : 56,178.91 = 24,793.80 : x
  2. Step 2: Convert to fraction form
    40,709.34/56,178.91 = 24,793.80/x
  3. Step 3: Cross multiply
    40,709.34x = 56,178.91 × 24,793.80
  4. Step 4: Simplify right side
    40,709.34x = 1,392,888,479.08
  5. Step 5: Solve for x
    x = 1,392,888,479.08/40,709.34
  6. Step 6: Final answer
    x = 34,215.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.