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Finding the Fourth Proportional to 29,975.84, 41,359.92 and 17,400.32

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Solution

The fourth proportional to 29,975.84, 41,359.92 and 17,400.32 is: 24,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,975.84 : 41,359.92 = 17,400.32 : x
  2. Step 2: Convert to fraction form
    29,975.84/41,359.92 = 17,400.32/x
  3. Step 3: Cross multiply
    29,975.84x = 41,359.92 × 17,400.32
  4. Step 4: Simplify right side
    29,975.84x = 719,675,843.17
  5. Step 5: Solve for x
    x = 719,675,843.17/29,975.84
  6. Step 6: Final answer
    x = 24,008.53

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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.