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Finding the Fourth Proportional to 78,418.32, 117,561.35 and 34,011.63

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Solution

The fourth proportional to 78,418.32, 117,561.35 and 34,011.63 is: 50,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,418.32 : 117,561.35 = 34,011.63 : x
  2. Step 2: Convert to fraction form
    78,418.32/117,561.35 = 34,011.63/x
  3. Step 3: Cross multiply
    78,418.32x = 117,561.35 × 34,011.63
  4. Step 4: Simplify right side
    78,418.32x = 3,998,452,844.60
  5. Step 5: Solve for x
    x = 3,998,452,844.60/78,418.32
  6. Step 6: Final answer
    x = 50,988.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.