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Finding the Fourth Proportional to 76,388.86, 105,416.67 and 42,397.36

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Solution

The fourth proportional to 76,388.86, 105,416.67 and 42,397.36 is: 58,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,388.86 : 105,416.67 = 42,397.36 : x
  2. Step 2: Convert to fraction form
    76,388.86/105,416.67 = 42,397.36/x
  3. Step 3: Cross multiply
    76,388.86x = 105,416.67 × 42,397.36
  4. Step 4: Simplify right side
    76,388.86x = 4,469,388,296.00
  5. Step 5: Solve for x
    x = 4,469,388,296.00/76,388.86
  6. Step 6: Final answer
    x = 58,508.38

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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.