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Finding the Fourth Proportional to 34,394.76, 47,447.30 and 22,465.08

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Solution

The fourth proportional to 34,394.76, 47,447.30 and 22,465.08 is: 30,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,394.76 : 47,447.30 = 22,465.08 : x
  2. Step 2: Convert to fraction form
    34,394.76/47,447.30 = 22,465.08/x
  3. Step 3: Cross multiply
    34,394.76x = 47,447.30 × 22,465.08
  4. Step 4: Simplify right side
    34,394.76x = 1,065,907,390.28
  5. Step 5: Solve for x
    x = 1,065,907,390.28/34,394.76
  6. Step 6: Final answer
    x = 30,990.40

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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.