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Finding the Fourth Proportional to 26,036, 39,052.56 and 7,317.32

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Solution

The fourth proportional to 26,036, 39,052.56 and 7,317.32 is: 10,975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,036 : 39,052.56 = 7,317.32 : x
  2. Step 2: Convert to fraction form
    26,036/39,052.56 = 7,317.32/x
  3. Step 3: Cross multiply
    26,036x = 39,052.56 × 7,317.32
  4. Step 4: Simplify right side
    26,036x = 285,760,078.34
  5. Step 5: Solve for x
    x = 285,760,078.34/26,036
  6. Step 6: Final answer
    x = 10,975.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.