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Finding the Fourth Proportional to 30,288.34, 45,437.94 and 10,299.70

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Solution

The fourth proportional to 30,288.34, 45,437.94 and 10,299.70 is: 15,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,288.34 : 45,437.94 = 10,299.70 : x
  2. Step 2: Convert to fraction form
    30,288.34/45,437.94 = 10,299.70/x
  3. Step 3: Cross multiply
    30,288.34x = 45,437.94 × 10,299.70
  4. Step 4: Simplify right side
    30,288.34x = 467,997,150.62
  5. Step 5: Solve for x
    x = 467,997,150.62/30,288.34
  6. Step 6: Final answer
    x = 15,451.40

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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.