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Finding the Fourth Proportional to 31,790.88, 47,670.12 and 12,054.42

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Solution

The fourth proportional to 31,790.88, 47,670.12 and 12,054.42 is: 18,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,790.88 : 47,670.12 = 12,054.42 : x
  2. Step 2: Convert to fraction form
    31,790.88/47,670.12 = 12,054.42/x
  3. Step 3: Cross multiply
    31,790.88x = 47,670.12 × 12,054.42
  4. Step 4: Simplify right side
    31,790.88x = 574,635,647.93
  5. Step 5: Solve for x
    x = 574,635,647.93/31,790.88
  6. Step 6: Final answer
    x = 18,075.49

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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.