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Finding the Fourth Proportional to 29,767.49, 41,080.49 and 17,830.57

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Solution

The fourth proportional to 29,767.49, 41,080.49 and 17,830.57 is: 24,607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.49 : 41,080.49 = 17,830.57 : x
  2. Step 2: Convert to fraction form
    29,767.49/41,080.49 = 17,830.57/x
  3. Step 3: Cross multiply
    29,767.49x = 41,080.49 × 17,830.57
  4. Step 4: Simplify right side
    29,767.49x = 732,488,552.58
  5. Step 5: Solve for x
    x = 732,488,552.58/29,767.49
  6. Step 6: Final answer
    x = 24,607.00

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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.