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Finding the Fourth Proportional to 20,048.13, 30,052.35 and 9,499.50

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Solution

The fourth proportional to 20,048.13, 30,052.35 and 9,499.50 is: 14,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.13 : 30,052.35 = 9,499.50 : x
  2. Step 2: Convert to fraction form
    20,048.13/30,052.35 = 9,499.50/x
  3. Step 3: Cross multiply
    20,048.13x = 30,052.35 × 9,499.50
  4. Step 4: Simplify right side
    20,048.13x = 285,482,298.83
  5. Step 5: Solve for x
    x = 285,482,298.83/20,048.13
  6. Step 6: Final answer
    x = 14,239.85

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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.