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Finding the Fourth Proportional to 97,853.34, 146,733.78 and 37,909.92

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Solution

The fourth proportional to 97,853.34, 146,733.78 and 37,909.92 is: 56,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,853.34 : 146,733.78 = 37,909.92 : x
  2. Step 2: Convert to fraction form
    97,853.34/146,733.78 = 37,909.92/x
  3. Step 3: Cross multiply
    97,853.34x = 146,733.78 × 37,909.92
  4. Step 4: Simplify right side
    97,853.34x = 5,562,665,861.10
  5. Step 5: Solve for x
    x = 5,562,665,861.10/97,853.34
  6. Step 6: Final answer
    x = 56,846.97

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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.