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Finding the Fourth Proportional to 105,044.70, 157,435.65 and 52,468.86

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Solution

The fourth proportional to 105,044.70, 157,435.65 and 52,468.86 is: 78,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,044.70 : 157,435.65 = 52,468.86 : x
  2. Step 2: Convert to fraction form
    105,044.70/157,435.65 = 52,468.86/x
  3. Step 3: Cross multiply
    105,044.70x = 157,435.65 × 52,468.86
  4. Step 4: Simplify right side
    105,044.70x = 8,260,469,078.86
  5. Step 5: Solve for x
    x = 8,260,469,078.86/105,044.70
  6. Step 6: Final answer
    x = 78,637.66

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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.