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Finding the Fourth Proportional to 57,095.60, 78,739.78 and 49,026.68

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Solution

The fourth proportional to 57,095.60, 78,739.78 and 49,026.68 is: 67,612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,095.60 : 78,739.78 = 49,026.68 : x
  2. Step 2: Convert to fraction form
    57,095.60/78,739.78 = 49,026.68/x
  3. Step 3: Cross multiply
    57,095.60x = 78,739.78 × 49,026.68
  4. Step 4: Simplify right side
    57,095.60x = 3,860,349,997.33
  5. Step 5: Solve for x
    x = 3,860,349,997.33/57,095.60
  6. Step 6: Final answer
    x = 67,612.04

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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.