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Finding the Fourth Proportional to 46,513.90, 69,721.17 and 21,524.86

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Solution

The fourth proportional to 46,513.90, 69,721.17 and 21,524.86 is: 32,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,513.90 : 69,721.17 = 21,524.86 : x
  2. Step 2: Convert to fraction form
    46,513.90/69,721.17 = 21,524.86/x
  3. Step 3: Cross multiply
    46,513.90x = 69,721.17 × 21,524.86
  4. Step 4: Simplify right side
    46,513.90x = 1,500,738,423.29
  5. Step 5: Solve for x
    x = 1,500,738,423.29/46,513.90
  6. Step 6: Final answer
    x = 32,264.30

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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.