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Finding the Fourth Proportional to 106,597.53, 159,721.32 and 36,438.57

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Solution

The fourth proportional to 106,597.53, 159,721.32 and 36,438.57 is: 54,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,597.53 : 159,721.32 = 36,438.57 : x
  2. Step 2: Convert to fraction form
    106,597.53/159,721.32 = 36,438.57/x
  3. Step 3: Cross multiply
    106,597.53x = 159,721.32 × 36,438.57
  4. Step 4: Simplify right side
    106,597.53x = 5,820,016,499.31
  5. Step 5: Solve for x
    x = 5,820,016,499.31/106,597.53
  6. Step 6: Final answer
    x = 54,598.04

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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.