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Finding the Fourth Proportional to 53,906.74, 80,830.91 and 24,289.90

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Solution

The fourth proportional to 53,906.74, 80,830.91 and 24,289.90 is: 36,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,906.74 : 80,830.91 = 24,289.90 : x
  2. Step 2: Convert to fraction form
    53,906.74/80,830.91 = 24,289.90/x
  3. Step 3: Cross multiply
    53,906.74x = 80,830.91 × 24,289.90
  4. Step 4: Simplify right side
    53,906.74x = 1,963,374,579.46
  5. Step 5: Solve for x
    x = 1,963,374,579.46/53,906.74
  6. Step 6: Final answer
    x = 36,421.69

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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.