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Finding the Fourth Proportional to 51,483.92, 77,080.28 and 32,717.43

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Solution

The fourth proportional to 51,483.92, 77,080.28 and 32,717.43 is: 48,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,483.92 : 77,080.28 = 32,717.43 : x
  2. Step 2: Convert to fraction form
    51,483.92/77,080.28 = 32,717.43/x
  3. Step 3: Cross multiply
    51,483.92x = 77,080.28 × 32,717.43
  4. Step 4: Simplify right side
    51,483.92x = 2,521,868,501.69
  5. Step 5: Solve for x
    x = 2,521,868,501.69/51,483.92
  6. Step 6: Final answer
    x = 48,983.62

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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.