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Finding the Fourth Proportional to 31,524.90, 47,307.06 and 12,805.02

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Solution

The fourth proportional to 31,524.90, 47,307.06 and 12,805.02 is: 19,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.90 : 47,307.06 = 12,805.02 : x
  2. Step 2: Convert to fraction form
    31,524.90/47,307.06 = 12,805.02/x
  3. Step 3: Cross multiply
    31,524.90x = 47,307.06 × 12,805.02
  4. Step 4: Simplify right side
    31,524.90x = 605,767,849.44
  5. Step 5: Solve for x
    x = 605,767,849.44/31,524.90
  6. Step 6: Final answer
    x = 19,215.54

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