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Finding the Fourth Proportional to 114,580.28, 171,893.10 and 35,691.14

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Solution

The fourth proportional to 114,580.28, 171,893.10 and 35,691.14 is: 53,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,580.28 : 171,893.10 = 35,691.14 : x
  2. Step 2: Convert to fraction form
    114,580.28/171,893.10 = 35,691.14/x
  3. Step 3: Cross multiply
    114,580.28x = 171,893.10 × 35,691.14
  4. Step 4: Simplify right side
    114,580.28x = 6,135,060,697.13
  5. Step 5: Solve for x
    x = 6,135,060,697.13/114,580.28
  6. Step 6: Final answer
    x = 53,543.77

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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.