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Finding the Fourth Proportional to 30,143.68, 45,215.52 and 10,411.47

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Solution

The fourth proportional to 30,143.68, 45,215.52 and 10,411.47 is: 15,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,143.68 : 45,215.52 = 10,411.47 : x
  2. Step 2: Convert to fraction form
    30,143.68/45,215.52 = 10,411.47/x
  3. Step 3: Cross multiply
    30,143.68x = 45,215.52 × 10,411.47
  4. Step 4: Simplify right side
    30,143.68x = 470,759,990.97
  5. Step 5: Solve for x
    x = 470,759,990.97/30,143.68
  6. Step 6: Final answer
    x = 15,617.21

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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.