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Finding the Fourth Proportional to 30,472.08, 45,712.92 and 12,942

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Solution

The fourth proportional to 30,472.08, 45,712.92 and 12,942 is: 19,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,472.08 : 45,712.92 = 12,942 : x
  2. Step 2: Convert to fraction form
    30,472.08/45,712.92 = 12,942/x
  3. Step 3: Cross multiply
    30,472.08x = 45,712.92 × 12,942
  4. Step 4: Simplify right side
    30,472.08x = 591,616,610.64
  5. Step 5: Solve for x
    x = 591,616,610.64/30,472.08
  6. Step 6: Final answer
    x = 19,415.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.