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Finding the Fourth Proportional to 78,082.56, 117,068.16 and 36,506.88

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Solution

The fourth proportional to 78,082.56, 117,068.16 and 36,506.88 is: 54,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,082.56 : 117,068.16 = 36,506.88 : x
  2. Step 2: Convert to fraction form
    78,082.56/117,068.16 = 36,506.88/x
  3. Step 3: Cross multiply
    78,082.56x = 117,068.16 × 36,506.88
  4. Step 4: Simplify right side
    78,082.56x = 4,273,793,268.94
  5. Step 5: Solve for x
    x = 4,273,793,268.94/78,082.56
  6. Step 6: Final answer
    x = 54,734.29

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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.