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Finding the Fourth Proportional to 30,764.27, 42,454.70 and 16,617.12

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Solution

The fourth proportional to 30,764.27, 42,454.70 and 16,617.12 is: 22,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.27 : 42,454.70 = 16,617.12 : x
  2. Step 2: Convert to fraction form
    30,764.27/42,454.70 = 16,617.12/x
  3. Step 3: Cross multiply
    30,764.27x = 42,454.70 × 16,617.12
  4. Step 4: Simplify right side
    30,764.27x = 705,474,549.10
  5. Step 5: Solve for x
    x = 705,474,549.10/30,764.27
  6. Step 6: Final answer
    x = 22,931.62

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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.