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Finding the Fourth Proportional to 78,093.59, 117,057.45 and 40,616.15

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Solution

The fourth proportional to 78,093.59, 117,057.45 and 40,616.15 is: 60,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093.59 : 117,057.45 = 40,616.15 : x
  2. Step 2: Convert to fraction form
    78,093.59/117,057.45 = 40,616.15/x
  3. Step 3: Cross multiply
    78,093.59x = 117,057.45 × 40,616.15
  4. Step 4: Simplify right side
    78,093.59x = 4,754,423,173.29
  5. Step 5: Solve for x
    x = 4,754,423,173.29/78,093.59
  6. Step 6: Final answer
    x = 60,881.10

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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.