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Finding the Fourth Proportional to 97,057.78, 145,585.38 and 33,877.78

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Solution

The fourth proportional to 97,057.78, 145,585.38 and 33,877.78 is: 50,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,057.78 : 145,585.38 = 33,877.78 : x
  2. Step 2: Convert to fraction form
    97,057.78/145,585.38 = 33,877.78/x
  3. Step 3: Cross multiply
    97,057.78x = 145,585.38 × 33,877.78
  4. Step 4: Simplify right side
    97,057.78x = 4,932,109,474.86
  5. Step 5: Solve for x
    x = 4,932,109,474.86/97,057.78
  6. Step 6: Final answer
    x = 50,816.22

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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.