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Finding the Fourth Proportional to 30,419.80, 45,630.41 and 10,429.13

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Solution

The fourth proportional to 30,419.80, 45,630.41 and 10,429.13 is: 15,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.80 : 45,630.41 = 10,429.13 : x
  2. Step 2: Convert to fraction form
    30,419.80/45,630.41 = 10,429.13/x
  3. Step 3: Cross multiply
    30,419.80x = 45,630.41 × 10,429.13
  4. Step 4: Simplify right side
    30,419.80x = 475,885,499.43
  5. Step 5: Solve for x
    x = 475,885,499.43/30,419.80
  6. Step 6: Final answer
    x = 15,643.94

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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.