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Finding the Fourth Proportional to 76,309.86, 114,484.24 and 23,719.80

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Solution

The fourth proportional to 76,309.86, 114,484.24 and 23,719.80 is: 35,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,309.86 : 114,484.24 = 23,719.80 : x
  2. Step 2: Convert to fraction form
    76,309.86/114,484.24 = 23,719.80/x
  3. Step 3: Cross multiply
    76,309.86x = 114,484.24 × 23,719.80
  4. Step 4: Simplify right side
    76,309.86x = 2,715,543,275.95
  5. Step 5: Solve for x
    x = 2,715,543,275.95/76,309.86
  6. Step 6: Final answer
    x = 35,585.75

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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.