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Finding the Fourth Proportional to 30,927.66, 42,680.32 and 16,780.50

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Solution

The fourth proportional to 30,927.66, 42,680.32 and 16,780.50 is: 23,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,927.66 : 42,680.32 = 16,780.50 : x
  2. Step 2: Convert to fraction form
    30,927.66/42,680.32 = 16,780.50/x
  3. Step 3: Cross multiply
    30,927.66x = 42,680.32 × 16,780.50
  4. Step 4: Simplify right side
    30,927.66x = 716,197,067.81
  5. Step 5: Solve for x
    x = 716,197,067.81/30,927.66
  6. Step 6: Final answer
    x = 23,157.17

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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.