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Finding the Fourth Proportional to 102,340.38, 153,516.03 and 32,225.16

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Solution

The fourth proportional to 102,340.38, 153,516.03 and 32,225.16 is: 48,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,340.38 : 153,516.03 = 32,225.16 : x
  2. Step 2: Convert to fraction form
    102,340.38/153,516.03 = 32,225.16/x
  3. Step 3: Cross multiply
    102,340.38x = 153,516.03 × 32,225.16
  4. Step 4: Simplify right side
    102,340.38x = 4,947,078,629.31
  5. Step 5: Solve for x
    x = 4,947,078,629.31/102,340.38
  6. Step 6: Final answer
    x = 48,339.46

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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.