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Finding the Fourth Proportional to 97,876.59, 146,814.97 and 24,004.59

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Solution

The fourth proportional to 97,876.59, 146,814.97 and 24,004.59 is: 36,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,876.59 : 146,814.97 = 24,004.59 : x
  2. Step 2: Convert to fraction form
    97,876.59/146,814.97 = 24,004.59/x
  3. Step 3: Cross multiply
    97,876.59x = 146,814.97 × 24,004.59
  4. Step 4: Simplify right side
    97,876.59x = 3,524,232,366.63
  5. Step 5: Solve for x
    x = 3,524,232,366.63/97,876.59
  6. Step 6: Final answer
    x = 36,006.90

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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.