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Finding the Fourth Proportional to 31,205.70, 46,808.55 and 18,083.70

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Solution

The fourth proportional to 31,205.70, 46,808.55 and 18,083.70 is: 27,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.70 : 46,808.55 = 18,083.70 : x
  2. Step 2: Convert to fraction form
    31,205.70/46,808.55 = 18,083.70/x
  3. Step 3: Cross multiply
    31,205.70x = 46,808.55 × 18,083.70
  4. Step 4: Simplify right side
    31,205.70x = 846,471,775.64
  5. Step 5: Solve for x
    x = 846,471,775.64/31,205.70
  6. Step 6: Final answer
    x = 27,125.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.