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Finding the Fourth Proportional to 30,008.52, 45,013.50 and 10,286.94

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Solution

The fourth proportional to 30,008.52, 45,013.50 and 10,286.94 is: 15,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,008.52 : 45,013.50 = 10,286.94 : x
  2. Step 2: Convert to fraction form
    30,008.52/45,013.50 = 10,286.94/x
  3. Step 3: Cross multiply
    30,008.52x = 45,013.50 × 10,286.94
  4. Step 4: Simplify right side
    30,008.52x = 463,051,173.69
  5. Step 5: Solve for x
    x = 463,051,173.69/30,008.52
  6. Step 6: Final answer
    x = 15,430.66

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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.