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Finding the Fourth Proportional to 76,853.34, 106,081.25 and 45,032.49

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Solution

The fourth proportional to 76,853.34, 106,081.25 and 45,032.49 is: 62,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,853.34 : 106,081.25 = 45,032.49 : x
  2. Step 2: Convert to fraction form
    76,853.34/106,081.25 = 45,032.49/x
  3. Step 3: Cross multiply
    76,853.34x = 106,081.25 × 45,032.49
  4. Step 4: Simplify right side
    76,853.34x = 4,777,102,604.65
  5. Step 5: Solve for x
    x = 4,777,102,604.65/76,853.34
  6. Step 6: Final answer
    x = 62,158.69

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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.