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Finding the Fourth Proportional to 34,651.60, 47,824.59 and 22,749.46

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Solution

The fourth proportional to 34,651.60, 47,824.59 and 22,749.46 is: 31,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.60 : 47,824.59 = 22,749.46 : x
  2. Step 2: Convert to fraction form
    34,651.60/47,824.59 = 22,749.46/x
  3. Step 3: Cross multiply
    34,651.60x = 47,824.59 × 22,749.46
  4. Step 4: Simplify right side
    34,651.60x = 1,087,983,597.22
  5. Step 5: Solve for x
    x = 1,087,983,597.22/34,651.60
  6. Step 6: Final answer
    x = 31,397.79

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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.