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Finding the Fourth Proportional to 30,813.46, 42,522.47 and 16,666.31

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Solution

The fourth proportional to 30,813.46, 42,522.47 and 16,666.31 is: 22,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.46 : 42,522.47 = 16,666.31 : x
  2. Step 2: Convert to fraction form
    30,813.46/42,522.47 = 16,666.31/x
  3. Step 3: Cross multiply
    30,813.46x = 42,522.47 × 16,666.31
  4. Step 4: Simplify right side
    30,813.46x = 708,692,513.27
  5. Step 5: Solve for x
    x = 708,692,513.27/30,813.46
  6. Step 6: Final answer
    x = 22,999.44

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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.