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Finding the Fourth Proportional to 29,685.94, 40,966.65 and 16,074.13

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Solution

The fourth proportional to 29,685.94, 40,966.65 and 16,074.13 is: 22,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.94 : 40,966.65 = 16,074.13 : x
  2. Step 2: Convert to fraction form
    29,685.94/40,966.65 = 16,074.13/x
  3. Step 3: Cross multiply
    29,685.94x = 40,966.65 × 16,074.13
  4. Step 4: Simplify right side
    29,685.94x = 658,503,257.76
  5. Step 5: Solve for x
    x = 658,503,257.76/29,685.94
  6. Step 6: Final answer
    x = 22,182.33

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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.