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Finding the Fourth Proportional to 31,506.72, 47,230.90 and 17,646

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Solution

The fourth proportional to 31,506.72, 47,230.90 and 17,646 is: 26,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.72 : 47,230.90 = 17,646 : x
  2. Step 2: Convert to fraction form
    31,506.72/47,230.90 = 17,646/x
  3. Step 3: Cross multiply
    31,506.72x = 47,230.90 × 17,646
  4. Step 4: Simplify right side
    31,506.72x = 833,436,461.40
  5. Step 5: Solve for x
    x = 833,436,461.40/31,506.72
  6. Step 6: Final answer
    x = 26,452.66

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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.