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Finding the Fourth Proportional to 31,700.26, 47,550.93 and 11,988.10

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Solution

The fourth proportional to 31,700.26, 47,550.93 and 11,988.10 is: 17,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.26 : 47,550.93 = 11,988.10 : x
  2. Step 2: Convert to fraction form
    31,700.26/47,550.93 = 11,988.10/x
  3. Step 3: Cross multiply
    31,700.26x = 47,550.93 × 11,988.10
  4. Step 4: Simplify right side
    31,700.26x = 570,045,303.93
  5. Step 5: Solve for x
    x = 570,045,303.93/31,700.26
  6. Step 6: Final answer
    x = 17,982.35

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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.