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Finding the Fourth Proportional to 34,364.76, 47,422.59 and 20,023.69

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Solution

The fourth proportional to 34,364.76, 47,422.59 and 20,023.69 is: 27,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,364.76 : 47,422.59 = 20,023.69 : x
  2. Step 2: Convert to fraction form
    34,364.76/47,422.59 = 20,023.69/x
  3. Step 3: Cross multiply
    34,364.76x = 47,422.59 × 20,023.69
  4. Step 4: Simplify right side
    34,364.76x = 949,575,241.16
  5. Step 5: Solve for x
    x = 949,575,241.16/34,364.76
  6. Step 6: Final answer
    x = 27,632.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.