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Finding the Fourth Proportional to 102,160.38, 153,260.01 and 32,020.86

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Solution

The fourth proportional to 102,160.38, 153,260.01 and 32,020.86 is: 48,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,160.38 : 153,260.01 = 32,020.86 : x
  2. Step 2: Convert to fraction form
    102,160.38/153,260.01 = 32,020.86/x
  3. Step 3: Cross multiply
    102,160.38x = 153,260.01 × 32,020.86
  4. Step 4: Simplify right side
    102,160.38x = 4,907,517,323.81
  5. Step 5: Solve for x
    x = 4,907,517,323.81/102,160.38
  6. Step 6: Final answer
    x = 48,037.38

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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.