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Finding the Fourth Proportional to 46,418.67, 69,616.85 and 21,434.72

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Solution

The fourth proportional to 46,418.67, 69,616.85 and 21,434.72 is: 32,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,418.67 : 69,616.85 = 21,434.72 : x
  2. Step 2: Convert to fraction form
    46,418.67/69,616.85 = 21,434.72/x
  3. Step 3: Cross multiply
    46,418.67x = 69,616.85 × 21,434.72
  4. Step 4: Simplify right side
    46,418.67x = 1,492,217,231.77
  5. Step 5: Solve for x
    x = 1,492,217,231.77/46,418.67
  6. Step 6: Final answer
    x = 32,146.92

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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.