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Finding the Fourth Proportional to 31,307.50, 46,961.25 and 10,531

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Solution

The fourth proportional to 31,307.50, 46,961.25 and 10,531 is: 15,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,307.50 : 46,961.25 = 10,531 : x
  2. Step 2: Convert to fraction form
    31,307.50/46,961.25 = 10,531/x
  3. Step 3: Cross multiply
    31,307.50x = 46,961.25 × 10,531
  4. Step 4: Simplify right side
    31,307.50x = 494,548,923.75
  5. Step 5: Solve for x
    x = 494,548,923.75/31,307.50
  6. Step 6: Final answer
    x = 15,796.50

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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.