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Finding the Fourth Proportional to 36,868.32, 55,302.68 and 9,166.32

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Solution

The fourth proportional to 36,868.32, 55,302.68 and 9,166.32 is: 13,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,868.32 : 55,302.68 = 9,166.32 : x
  2. Step 2: Convert to fraction form
    36,868.32/55,302.68 = 9,166.32/x
  3. Step 3: Cross multiply
    36,868.32x = 55,302.68 × 9,166.32
  4. Step 4: Simplify right side
    36,868.32x = 506,922,015.91
  5. Step 5: Solve for x
    x = 506,922,015.91/36,868.32
  6. Step 6: Final answer
    x = 13,749.53

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