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Finding the Fourth Proportional to 54,543, 81,730.64 and 32,312.14

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Solution

The fourth proportional to 54,543, 81,730.64 and 32,312.14 is: 48,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,543 : 81,730.64 = 32,312.14 : x
  2. Step 2: Convert to fraction form
    54,543/81,730.64 = 32,312.14/x
  3. Step 3: Cross multiply
    54,543x = 81,730.64 × 32,312.14
  4. Step 4: Simplify right side
    54,543x = 2,640,891,881.97
  5. Step 5: Solve for x
    x = 2,640,891,881.97/54,543
  6. Step 6: Final answer
    x = 48,418.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.