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Finding the Fourth Proportional to 31,251.66, 46,877.70 and 12,783.66

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Solution

The fourth proportional to 31,251.66, 46,877.70 and 12,783.66 is: 19,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,251.66 : 46,877.70 = 12,783.66 : x
  2. Step 2: Convert to fraction form
    31,251.66/46,877.70 = 12,783.66/x
  3. Step 3: Cross multiply
    31,251.66x = 46,877.70 × 12,783.66
  4. Step 4: Simplify right side
    31,251.66x = 599,268,578.38
  5. Step 5: Solve for x
    x = 599,268,578.38/31,251.66
  6. Step 6: Final answer
    x = 19,175.58

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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.