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Finding the Fourth Proportional to 41,689.50, 57,537 and 23,780.40

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Solution

The fourth proportional to 41,689.50, 57,537 and 23,780.40 is: 32,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,689.50 : 57,537 = 23,780.40 : x
  2. Step 2: Convert to fraction form
    41,689.50/57,537 = 23,780.40/x
  3. Step 3: Cross multiply
    41,689.50x = 57,537 × 23,780.40
  4. Step 4: Simplify right side
    41,689.50x = 1,368,252,874.80
  5. Step 5: Solve for x
    x = 1,368,252,874.80/41,689.50
  6. Step 6: Final answer
    x = 32,820.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.