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Finding the Fourth Proportional to 30,231.48, 45,332.82 and 15,447

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Solution

The fourth proportional to 30,231.48, 45,332.82 and 15,447 is: 23,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,231.48 : 45,332.82 = 15,447 : x
  2. Step 2: Convert to fraction form
    30,231.48/45,332.82 = 15,447/x
  3. Step 3: Cross multiply
    30,231.48x = 45,332.82 × 15,447
  4. Step 4: Simplify right side
    30,231.48x = 700,256,070.54
  5. Step 5: Solve for x
    x = 700,256,070.54/30,231.48
  6. Step 6: Final answer
    x = 23,163.14

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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.