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Finding the Fourth Proportional to 78,100.80, 117,082.08 and 36,536.64

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Solution

The fourth proportional to 78,100.80, 117,082.08 and 36,536.64 is: 54,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100.80 : 117,082.08 = 36,536.64 : x
  2. Step 2: Convert to fraction form
    78,100.80/117,082.08 = 36,536.64/x
  3. Step 3: Cross multiply
    78,100.80x = 117,082.08 × 36,536.64
  4. Step 4: Simplify right side
    78,100.80x = 4,277,785,807.41
  5. Step 5: Solve for x
    x = 4,277,785,807.41/78,100.80
  6. Step 6: Final answer
    x = 54,772.62

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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.