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Finding the Fourth Proportional to 29,584.32, 40,813.68 and 17,006.40

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Solution

The fourth proportional to 29,584.32, 40,813.68 and 17,006.40 is: 23,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,584.32 : 40,813.68 = 17,006.40 : x
  2. Step 2: Convert to fraction form
    29,584.32/40,813.68 = 17,006.40/x
  3. Step 3: Cross multiply
    29,584.32x = 40,813.68 × 17,006.40
  4. Step 4: Simplify right side
    29,584.32x = 694,093,767.55
  5. Step 5: Solve for x
    x = 694,093,767.55/29,584.32
  6. Step 6: Final answer
    x = 23,461.54

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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.