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Finding the Fourth Proportional to 84,421.69, 126,651.26 and 31,831.63

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Solution

The fourth proportional to 84,421.69, 126,651.26 and 31,831.63 is: 47,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,421.69 : 126,651.26 = 31,831.63 : x
  2. Step 2: Convert to fraction form
    84,421.69/126,651.26 = 31,831.63/x
  3. Step 3: Cross multiply
    84,421.69x = 126,651.26 × 31,831.63
  4. Step 4: Simplify right side
    84,421.69x = 4,031,515,888.20
  5. Step 5: Solve for x
    x = 4,031,515,888.20/84,421.69
  6. Step 6: Final answer
    x = 47,754.50

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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.