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Finding the Fourth Proportional to 106,600.64, 159,726 and 36,441.68

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Solution

The fourth proportional to 106,600.64, 159,726 and 36,441.68 is: 54,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,600.64 : 159,726 = 36,441.68 : x
  2. Step 2: Convert to fraction form
    106,600.64/159,726 = 36,441.68/x
  3. Step 3: Cross multiply
    106,600.64x = 159,726 × 36,441.68
  4. Step 4: Simplify right side
    106,600.64x = 5,820,683,779.68
  5. Step 5: Solve for x
    x = 5,820,683,779.68/106,600.64
  6. Step 6: Final answer
    x = 54,602.71

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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.