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Finding the Fourth Proportional to 30,933.32, 42,688.08 and 16,786.16

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Solution

The fourth proportional to 30,933.32, 42,688.08 and 16,786.16 is: 23,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933.32 : 42,688.08 = 16,786.16 : x
  2. Step 2: Convert to fraction form
    30,933.32/42,688.08 = 16,786.16/x
  3. Step 3: Cross multiply
    30,933.32x = 42,688.08 × 16,786.16
  4. Step 4: Simplify right side
    30,933.32x = 716,568,727.53
  5. Step 5: Solve for x
    x = 716,568,727.53/30,933.32
  6. Step 6: Final answer
    x = 23,164.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.