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Finding the Fourth Proportional to 31,647.78, 47,482.06 and 12,943.55

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Solution

The fourth proportional to 31,647.78, 47,482.06 and 12,943.55 is: 19,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647.78 : 47,482.06 = 12,943.55 : x
  2. Step 2: Convert to fraction form
    31,647.78/47,482.06 = 12,943.55/x
  3. Step 3: Cross multiply
    31,647.78x = 47,482.06 × 12,943.55
  4. Step 4: Simplify right side
    31,647.78x = 614,586,147.94
  5. Step 5: Solve for x
    x = 614,586,147.94/31,647.78
  6. Step 6: Final answer
    x = 19,419.57

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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.