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Finding the Fourth Proportional to 76,023.77, 104,910.95 and 42,031.38

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Solution

The fourth proportional to 76,023.77, 104,910.95 and 42,031.38 is: 58,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,023.77 : 104,910.95 = 42,031.38 : x
  2. Step 2: Convert to fraction form
    76,023.77/104,910.95 = 42,031.38/x
  3. Step 3: Cross multiply
    76,023.77x = 104,910.95 × 42,031.38
  4. Step 4: Simplify right side
    76,023.77x = 4,409,552,238.60
  5. Step 5: Solve for x
    x = 4,409,552,238.60/76,023.77
  6. Step 6: Final answer
    x = 58,002.28

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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.