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Finding the Fourth Proportional to 31,421.39, 47,124.79 and 9,228.80

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Solution

The fourth proportional to 31,421.39, 47,124.79 and 9,228.80 is: 13,841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,421.39 : 47,124.79 = 9,228.80 : x
  2. Step 2: Convert to fraction form
    31,421.39/47,124.79 = 9,228.80/x
  3. Step 3: Cross multiply
    31,421.39x = 47,124.79 × 9,228.80
  4. Step 4: Simplify right side
    31,421.39x = 434,905,356.69
  5. Step 5: Solve for x
    x = 434,905,356.69/31,421.39
  6. Step 6: Final answer
    x = 13,841.06

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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.