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Finding the Fourth Proportional to 77,309.54, 115,962.48 and 24,719.48

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Solution

The fourth proportional to 77,309.54, 115,962.48 and 24,719.48 is: 37,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.54 : 115,962.48 = 24,719.48 : x
  2. Step 2: Convert to fraction form
    77,309.54/115,962.48 = 24,719.48/x
  3. Step 3: Cross multiply
    77,309.54x = 115,962.48 × 24,719.48
  4. Step 4: Simplify right side
    77,309.54x = 2,866,532,205.11
  5. Step 5: Solve for x
    x = 2,866,532,205.11/77,309.54
  6. Step 6: Final answer
    x = 37,078.63

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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.