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Finding the Fourth Proportional to 76,023.98, 104,911.24 and 42,031.59

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Solution

The fourth proportional to 76,023.98, 104,911.24 and 42,031.59 is: 58,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,023.98 : 104,911.24 = 42,031.59 : x
  2. Step 2: Convert to fraction form
    76,023.98/104,911.24 = 42,031.59/x
  3. Step 3: Cross multiply
    76,023.98x = 104,911.24 × 42,031.59
  4. Step 4: Simplify right side
    76,023.98x = 4,409,586,603.38
  5. Step 5: Solve for x
    x = 4,409,586,603.38/76,023.98
  6. Step 6: Final answer
    x = 58,002.57

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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.