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Finding the Fourth Proportional to 30,154.80, 45,232.20 and 10,431.30

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Solution

The fourth proportional to 30,154.80, 45,232.20 and 10,431.30 is: 15,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154.80 : 45,232.20 = 10,431.30 : x
  2. Step 2: Convert to fraction form
    30,154.80/45,232.20 = 10,431.30/x
  3. Step 3: Cross multiply
    30,154.80x = 45,232.20 × 10,431.30
  4. Step 4: Simplify right side
    30,154.80x = 471,830,647.86
  5. Step 5: Solve for x
    x = 471,830,647.86/30,154.80
  6. Step 6: Final answer
    x = 15,646.95

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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.