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Finding the Fourth Proportional to 96,824.54, 133,615.20 and 53,802.92

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Solution

The fourth proportional to 96,824.54, 133,615.20 and 53,802.92 is: 74,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,824.54 : 133,615.20 = 53,802.92 : x
  2. Step 2: Convert to fraction form
    96,824.54/133,615.20 = 53,802.92/x
  3. Step 3: Cross multiply
    96,824.54x = 133,615.20 × 53,802.92
  4. Step 4: Simplify right side
    96,824.54x = 7,188,887,916.38
  5. Step 5: Solve for x
    x = 7,188,887,916.38/96,824.54
  6. Step 6: Final answer
    x = 74,246.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.