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Finding the Fourth Proportional to 30,535.47, 45,803.25 and 8,348.85

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Solution

The fourth proportional to 30,535.47, 45,803.25 and 8,348.85 is: 12,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.47 : 45,803.25 = 8,348.85 : x
  2. Step 2: Convert to fraction form
    30,535.47/45,803.25 = 8,348.85/x
  3. Step 3: Cross multiply
    30,535.47x = 45,803.25 × 8,348.85
  4. Step 4: Simplify right side
    30,535.47x = 382,404,463.76
  5. Step 5: Solve for x
    x = 382,404,463.76/30,535.47
  6. Step 6: Final answer
    x = 12,523.29

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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.