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Finding the Fourth Proportional to 30,943.32, 42,701.68 and 16,796.16

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Solution

The fourth proportional to 30,943.32, 42,701.68 and 16,796.16 is: 23,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,943.32 : 42,701.68 = 16,796.16 : x
  2. Step 2: Convert to fraction form
    30,943.32/42,701.68 = 16,796.16/x
  3. Step 3: Cross multiply
    30,943.32x = 42,701.68 × 16,796.16
  4. Step 4: Simplify right side
    30,943.32x = 717,224,270.54
  5. Step 5: Solve for x
    x = 717,224,270.54/30,943.32
  6. Step 6: Final answer
    x = 23,178.65

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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.