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Finding the Fourth Proportional to 84,014.40, 126,021.60 and 31,421.10

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Solution

The fourth proportional to 84,014.40, 126,021.60 and 31,421.10 is: 47,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,014.40 : 126,021.60 = 31,421.10 : x
  2. Step 2: Convert to fraction form
    84,014.40/126,021.60 = 31,421.10/x
  3. Step 3: Cross multiply
    84,014.40x = 126,021.60 × 31,421.10
  4. Step 4: Simplify right side
    84,014.40x = 3,959,737,295.76
  5. Step 5: Solve for x
    x = 3,959,737,295.76/84,014.40
  6. Step 6: Final answer
    x = 47,131.65

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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.