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Finding the Fourth Proportional to 30,509.11, 42,108.02 and 22,149.91

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Solution

The fourth proportional to 30,509.11, 42,108.02 and 22,149.91 is: 30,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.11 : 42,108.02 = 22,149.91 : x
  2. Step 2: Convert to fraction form
    30,509.11/42,108.02 = 22,149.91/x
  3. Step 3: Cross multiply
    30,509.11x = 42,108.02 × 22,149.91
  4. Step 4: Simplify right side
    30,509.11x = 932,688,853.28
  5. Step 5: Solve for x
    x = 932,688,853.28/30,509.11
  6. Step 6: Final answer
    x = 30,570.83

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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.