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Finding the Fourth Proportional to 46,658.43, 69,954.83 and 21,671.95

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Solution

The fourth proportional to 46,658.43, 69,954.83 and 21,671.95 is: 32,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,658.43 : 69,954.83 = 21,671.95 : x
  2. Step 2: Convert to fraction form
    46,658.43/69,954.83 = 21,671.95/x
  3. Step 3: Cross multiply
    46,658.43x = 69,954.83 × 21,671.95
  4. Step 4: Simplify right side
    46,658.43x = 1,516,057,578.02
  5. Step 5: Solve for x
    x = 1,516,057,578.02/46,658.43
  6. Step 6: Final answer
    x = 32,492.68

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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.