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Finding the Fourth Proportional to 31,776.90, 47,677.90 and 12,060.69

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Solution

The fourth proportional to 31,776.90, 47,677.90 and 12,060.69 is: 18,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.90 : 47,677.90 = 12,060.69 : x
  2. Step 2: Convert to fraction form
    31,776.90/47,677.90 = 12,060.69/x
  3. Step 3: Cross multiply
    31,776.90x = 47,677.90 × 12,060.69
  4. Step 4: Simplify right side
    31,776.90x = 575,028,371.75
  5. Step 5: Solve for x
    x = 575,028,371.75/31,776.90
  6. Step 6: Final answer
    x = 18,095.80

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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.