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Finding the Fourth Proportional to 34,478.25, 47,582.01 and 25,965.35

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Solution

The fourth proportional to 34,478.25, 47,582.01 and 25,965.35 is: 35,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,478.25 : 47,582.01 = 25,965.35 : x
  2. Step 2: Convert to fraction form
    34,478.25/47,582.01 = 25,965.35/x
  3. Step 3: Cross multiply
    34,478.25x = 47,582.01 × 25,965.35
  4. Step 4: Simplify right side
    34,478.25x = 1,235,483,305.44
  5. Step 5: Solve for x
    x = 1,235,483,305.44/34,478.25
  6. Step 6: Final answer
    x = 35,833.70

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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.