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Finding the Fourth Proportional to 77,649.30, 116,501.28 and 38,234.10

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Solution

The fourth proportional to 77,649.30, 116,501.28 and 38,234.10 is: 57,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,649.30 : 116,501.28 = 38,234.10 : x
  2. Step 2: Convert to fraction form
    77,649.30/116,501.28 = 38,234.10/x
  3. Step 3: Cross multiply
    77,649.30x = 116,501.28 × 38,234.10
  4. Step 4: Simplify right side
    77,649.30x = 4,454,321,589.65
  5. Step 5: Solve for x
    x = 4,454,321,589.65/77,649.30
  6. Step 6: Final answer
    x = 57,364.61

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