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Finding the Fourth Proportional to 106,190.92, 159,309.42 and 32,317

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Solution

The fourth proportional to 106,190.92, 159,309.42 and 32,317 is: 48,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,190.92 : 159,309.42 = 32,317 : x
  2. Step 2: Convert to fraction form
    106,190.92/159,309.42 = 32,317/x
  3. Step 3: Cross multiply
    106,190.92x = 159,309.42 × 32,317
  4. Step 4: Simplify right side
    106,190.92x = 5,148,402,526.14
  5. Step 5: Solve for x
    x = 5,148,402,526.14/106,190.92
  6. Step 6: Final answer
    x = 48,482.51

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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.