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Finding the Fourth Proportional to 30,227.61, 45,341.82 and 10,506.54

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Solution

The fourth proportional to 30,227.61, 45,341.82 and 10,506.54 is: 15,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.61 : 45,341.82 = 10,506.54 : x
  2. Step 2: Convert to fraction form
    30,227.61/45,341.82 = 10,506.54/x
  3. Step 3: Cross multiply
    30,227.61x = 45,341.82 × 10,506.54
  4. Step 4: Simplify right side
    30,227.61x = 476,385,645.50
  5. Step 5: Solve for x
    x = 476,385,645.50/30,227.61
  6. Step 6: Final answer
    x = 15,759.95

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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.