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Finding the Fourth Proportional to 31,386.34, 47,079.49 and 8,012.77

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Solution

The fourth proportional to 31,386.34, 47,079.49 and 8,012.77 is: 12,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386.34 : 47,079.49 = 8,012.77 : x
  2. Step 2: Convert to fraction form
    31,386.34/47,079.49 = 8,012.77/x
  3. Step 3: Cross multiply
    31,386.34x = 47,079.49 × 8,012.77
  4. Step 4: Simplify right side
    31,386.34x = 377,237,125.09
  5. Step 5: Solve for x
    x = 377,237,125.09/31,386.34
  6. Step 6: Final answer
    x = 12,019.15

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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.