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Finding the Fourth Proportional to 77,762.57, 116,664.22 and 24,452.39

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Solution

The fourth proportional to 77,762.57, 116,664.22 and 24,452.39 is: 36,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,762.57 : 116,664.22 = 24,452.39 : x
  2. Step 2: Convert to fraction form
    77,762.57/116,664.22 = 24,452.39/x
  3. Step 3: Cross multiply
    77,762.57x = 116,664.22 × 24,452.39
  4. Step 4: Simplify right side
    77,762.57x = 2,852,719,237.02
  5. Step 5: Solve for x
    x = 2,852,719,237.02/77,762.57
  6. Step 6: Final answer
    x = 36,684.99

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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.