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Finding the Fourth Proportional to 29,574.65, 40,813.13 and 16,146.20

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Solution

The fourth proportional to 29,574.65, 40,813.13 and 16,146.20 is: 22,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,574.65 : 40,813.13 = 16,146.20 : x
  2. Step 2: Convert to fraction form
    29,574.65/40,813.13 = 16,146.20/x
  3. Step 3: Cross multiply
    29,574.65x = 40,813.13 × 16,146.20
  4. Step 4: Simplify right side
    29,574.65x = 658,976,674.81
  5. Step 5: Solve for x
    x = 658,976,674.81/29,574.65
  6. Step 6: Final answer
    x = 22,281.81

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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.