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Finding the Fourth Proportional to 78,264.66, 117,405.48 and 24,944.13

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Solution

The fourth proportional to 78,264.66, 117,405.48 and 24,944.13 is: 37,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,264.66 : 117,405.48 = 24,944.13 : x
  2. Step 2: Convert to fraction form
    78,264.66/117,405.48 = 24,944.13/x
  3. Step 3: Cross multiply
    78,264.66x = 117,405.48 × 24,944.13
  4. Step 4: Simplify right side
    78,264.66x = 2,928,577,555.83
  5. Step 5: Solve for x
    x = 2,928,577,555.83/78,264.66
  6. Step 6: Final answer
    x = 37,418.90

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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.