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Finding the Fourth Proportional to 57,234.65, 78,967.71 and 45,097.49

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Solution

The fourth proportional to 57,234.65, 78,967.71 and 45,097.49 is: 62,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,234.65 : 78,967.71 = 45,097.49 : x
  2. Step 2: Convert to fraction form
    57,234.65/78,967.71 = 45,097.49/x
  3. Step 3: Cross multiply
    57,234.65x = 78,967.71 × 45,097.49
  4. Step 4: Simplify right side
    57,234.65x = 3,561,245,117.21
  5. Step 5: Solve for x
    x = 3,561,245,117.21/57,234.65
  6. Step 6: Final answer
    x = 62,221.84

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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.