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Finding the Fourth Proportional to 30,009.62, 45,016.62 and 10,288.01

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Solution

The fourth proportional to 30,009.62, 45,016.62 and 10,288.01 is: 15,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.62 : 45,016.62 = 10,288.01 : x
  2. Step 2: Convert to fraction form
    30,009.62/45,016.62 = 10,288.01/x
  3. Step 3: Cross multiply
    30,009.62x = 45,016.62 × 10,288.01
  4. Step 4: Simplify right side
    30,009.62x = 463,131,436.73
  5. Step 5: Solve for x
    x = 463,131,436.73/30,009.62
  6. Step 6: Final answer
    x = 15,432.77

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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.