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Finding the Fourth Proportional to 30,844.73, 42,565.50 and 16,697.48

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Solution

The fourth proportional to 30,844.73, 42,565.50 and 16,697.48 is: 23,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844.73 : 42,565.50 = 16,697.48 : x
  2. Step 2: Convert to fraction form
    30,844.73/42,565.50 = 16,697.48/x
  3. Step 3: Cross multiply
    30,844.73x = 42,565.50 × 16,697.48
  4. Step 4: Simplify right side
    30,844.73x = 710,736,372.11
  5. Step 5: Solve for x
    x = 710,736,372.11/30,844.73
  6. Step 6: Final answer
    x = 23,042.39

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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.