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Finding the Fourth Proportional to 30,098.28, 41,440.59 and 26,511

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Solution

The fourth proportional to 30,098.28, 41,440.59 and 26,511 is: 36,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.28 : 41,440.59 = 26,511 : x
  2. Step 2: Convert to fraction form
    30,098.28/41,440.59 = 26,511/x
  3. Step 3: Cross multiply
    30,098.28x = 41,440.59 × 26,511
  4. Step 4: Simplify right side
    30,098.28x = 1,098,631,481.49
  5. Step 5: Solve for x
    x = 1,098,631,481.49/30,098.28
  6. Step 6: Final answer
    x = 36,501.47

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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.