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Finding the Fourth Proportional to 78,082.75, 117,127.41 and 22,678.75

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Solution

The fourth proportional to 78,082.75, 117,127.41 and 22,678.75 is: 34,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,082.75 : 117,127.41 = 22,678.75 : x
  2. Step 2: Convert to fraction form
    78,082.75/117,127.41 = 22,678.75/x
  3. Step 3: Cross multiply
    78,082.75x = 117,127.41 × 22,678.75
  4. Step 4: Simplify right side
    78,082.75x = 2,656,303,249.54
  5. Step 5: Solve for x
    x = 2,656,303,249.54/78,082.75
  6. Step 6: Final answer
    x = 34,019.08

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1.5x scale

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.