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Finding the Fourth Proportional to 29,282.40, 40,412.16 and 16,706.88

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Solution

The fourth proportional to 29,282.40, 40,412.16 and 16,706.88 is: 23,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,282.40 : 40,412.16 = 16,706.88 : x
  2. Step 2: Convert to fraction form
    29,282.40/40,412.16 = 16,706.88/x
  3. Step 3: Cross multiply
    29,282.40x = 40,412.16 × 16,706.88
  4. Step 4: Simplify right side
    29,282.40x = 675,161,107.66
  5. Step 5: Solve for x
    x = 675,161,107.66/29,282.40
  6. Step 6: Final answer
    x = 23,056.89

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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.