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Finding the Fourth Proportional to 106,051.72, 159,103.50 and 35,931.64

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Solution

The fourth proportional to 106,051.72, 159,103.50 and 35,931.64 is: 53,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,051.72 : 159,103.50 = 35,931.64 : x
  2. Step 2: Convert to fraction form
    106,051.72/159,103.50 = 35,931.64/x
  3. Step 3: Cross multiply
    106,051.72x = 159,103.50 × 35,931.64
  4. Step 4: Simplify right side
    106,051.72x = 5,716,849,684.74
  5. Step 5: Solve for x
    x = 5,716,849,684.74/106,051.72
  6. Step 6: Final answer
    x = 53,906.24

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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.