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Finding the Fourth Proportional to 30,927.36, 42,679.84 and 16,780.32

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Solution

The fourth proportional to 30,927.36, 42,679.84 and 16,780.32 is: 23,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,927.36 : 42,679.84 = 16,780.32 : x
  2. Step 2: Convert to fraction form
    30,927.36/42,679.84 = 16,780.32/x
  3. Step 3: Cross multiply
    30,927.36x = 42,679.84 × 16,780.32
  4. Step 4: Simplify right side
    30,927.36x = 716,181,372.75
  5. Step 5: Solve for x
    x = 716,181,372.75/30,927.36
  6. Step 6: Final answer
    x = 23,156.89

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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.