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Finding the Fourth Proportional to 106,222.16, 159,330.36 and 32,350.16

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Solution

The fourth proportional to 106,222.16, 159,330.36 and 32,350.16 is: 48,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,222.16 : 159,330.36 = 32,350.16 : x
  2. Step 2: Convert to fraction form
    106,222.16/159,330.36 = 32,350.16/x
  3. Step 3: Cross multiply
    106,222.16x = 159,330.36 × 32,350.16
  4. Step 4: Simplify right side
    106,222.16x = 5,154,362,638.86
  5. Step 5: Solve for x
    x = 5,154,362,638.86/106,222.16
  6. Step 6: Final answer
    x = 48,524.36

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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.