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Finding the Fourth Proportional to 102,338.32, 153,497.88 and 32,212.24

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Solution

The fourth proportional to 102,338.32, 153,497.88 and 32,212.24 is: 48,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,338.32 : 153,497.88 = 32,212.24 : x
  2. Step 2: Convert to fraction form
    102,338.32/153,497.88 = 32,212.24/x
  3. Step 3: Cross multiply
    102,338.32x = 153,497.88 × 32,212.24
  4. Step 4: Simplify right side
    102,338.32x = 4,944,510,550.05
  5. Step 5: Solve for x
    x = 4,944,510,550.05/102,338.32
  6. Step 6: Final answer
    x = 48,315.34

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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.