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Finding the Fourth Proportional to 76,417.56, 114,625.14 and 41,349

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Solution

The fourth proportional to 76,417.56, 114,625.14 and 41,349 is: 62,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,417.56 : 114,625.14 = 41,349 : x
  2. Step 2: Convert to fraction form
    76,417.56/114,625.14 = 41,349/x
  3. Step 3: Cross multiply
    76,417.56x = 114,625.14 × 41,349
  4. Step 4: Simplify right side
    76,417.56x = 4,739,634,913.86
  5. Step 5: Solve for x
    x = 4,739,634,913.86/76,417.56
  6. Step 6: Final answer
    x = 62,022.85

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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.