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Finding the Fourth Proportional to 78,466, 117,616.64 and 38,429.76

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Solution

The fourth proportional to 78,466, 117,616.64 and 38,429.76 is: 57,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466 : 117,616.64 = 38,429.76 : x
  2. Step 2: Convert to fraction form
    78,466/117,616.64 = 38,429.76/x
  3. Step 3: Cross multiply
    78,466x = 117,616.64 × 38,429.76
  4. Step 4: Simplify right side
    78,466x = 4,519,979,247.21
  5. Step 5: Solve for x
    x = 4,519,979,247.21/78,466
  6. Step 6: Final answer
    x = 57,604.30

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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.