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Finding the Fourth Proportional to 30,158.91, 45,245.88 and 9,098.43

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Solution

The fourth proportional to 30,158.91, 45,245.88 and 9,098.43 is: 13,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,158.91 : 45,245.88 = 9,098.43 : x
  2. Step 2: Convert to fraction form
    30,158.91/45,245.88 = 9,098.43/x
  3. Step 3: Cross multiply
    30,158.91x = 45,245.88 × 9,098.43
  4. Step 4: Simplify right side
    30,158.91x = 411,666,471.97
  5. Step 5: Solve for x
    x = 411,666,471.97/30,158.91
  6. Step 6: Final answer
    x = 13,649.91

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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.