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Finding the Fourth Proportional to 29,510.98, 40,723.70 and 16,082.19

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Solution

The fourth proportional to 29,510.98, 40,723.70 and 16,082.19 is: 22,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,510.98 : 40,723.70 = 16,082.19 : x
  2. Step 2: Convert to fraction form
    29,510.98/40,723.70 = 16,082.19/x
  3. Step 3: Cross multiply
    29,510.98x = 40,723.70 × 16,082.19
  4. Step 4: Simplify right side
    29,510.98x = 654,926,422.92
  5. Step 5: Solve for x
    x = 654,926,422.92/29,510.98
  6. Step 6: Final answer
    x = 22,192.64

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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.