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Finding the Fourth Proportional to 29,825.88, 41,159.74 and 16,398

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Solution

The fourth proportional to 29,825.88, 41,159.74 and 16,398 is: 22,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,825.88 : 41,159.74 = 16,398 : x
  2. Step 2: Convert to fraction form
    29,825.88/41,159.74 = 16,398/x
  3. Step 3: Cross multiply
    29,825.88x = 41,159.74 × 16,398
  4. Step 4: Simplify right side
    29,825.88x = 674,937,416.52
  5. Step 5: Solve for x
    x = 674,937,416.52/29,825.88
  6. Step 6: Final answer
    x = 22,629.25

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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.