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Finding the Fourth Proportional to 31,771.26, 47,656.90 and 13,048.12

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Solution

The fourth proportional to 31,771.26, 47,656.90 and 13,048.12 is: 19,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.26 : 47,656.90 = 13,048.12 : x
  2. Step 2: Convert to fraction form
    31,771.26/47,656.90 = 13,048.12/x
  3. Step 3: Cross multiply
    31,771.26x = 47,656.90 × 13,048.12
  4. Step 4: Simplify right side
    31,771.26x = 621,832,950.03
  5. Step 5: Solve for x
    x = 621,832,950.03/31,771.26
  6. Step 6: Final answer
    x = 19,572.18

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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.