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Finding the Fourth Proportional to 77,370.78, 116,062.35 and 32,997.93

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Solution

The fourth proportional to 77,370.78, 116,062.35 and 32,997.93 is: 49,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,370.78 : 116,062.35 = 32,997.93 : x
  2. Step 2: Convert to fraction form
    77,370.78/116,062.35 = 32,997.93/x
  3. Step 3: Cross multiply
    77,370.78x = 116,062.35 × 32,997.93
  4. Step 4: Simplify right side
    77,370.78x = 3,829,817,135.95
  5. Step 5: Solve for x
    x = 3,829,817,135.95/77,370.78
  6. Step 6: Final answer
    x = 49,499.53

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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.