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Finding the Fourth Proportional to 31,855.74, 43,957.08 and 17,513.20

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Solution

The fourth proportional to 31,855.74, 43,957.08 and 17,513.20 is: 24,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855.74 : 43,957.08 = 17,513.20 : x
  2. Step 2: Convert to fraction form
    31,855.74/43,957.08 = 17,513.20/x
  3. Step 3: Cross multiply
    31,855.74x = 43,957.08 × 17,513.20
  4. Step 4: Simplify right side
    31,855.74x = 769,829,133.46
  5. Step 5: Solve for x
    x = 769,829,133.46/31,855.74
  6. Step 6: Final answer
    x = 24,166.10

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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.