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Finding the Fourth Proportional to 30,772.52, 42,465.30 and 17,343.56

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Solution

The fourth proportional to 30,772.52, 42,465.30 and 17,343.56 is: 23,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.52 : 42,465.30 = 17,343.56 : x
  2. Step 2: Convert to fraction form
    30,772.52/42,465.30 = 17,343.56/x
  3. Step 3: Cross multiply
    30,772.52x = 42,465.30 × 17,343.56
  4. Step 4: Simplify right side
    30,772.52x = 736,499,478.47
  5. Step 5: Solve for x
    x = 736,499,478.47/30,772.52
  6. Step 6: Final answer
    x = 23,933.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.