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Finding the Fourth Proportional to 121,005.52, 181,508.28 and 37,906

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Solution

The fourth proportional to 121,005.52, 181,508.28 and 37,906 is: 56,859

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,005.52 : 181,508.28 = 37,906 : x
  2. Step 2: Convert to fraction form
    121,005.52/181,508.28 = 37,906/x
  3. Step 3: Cross multiply
    121,005.52x = 181,508.28 × 37,906
  4. Step 4: Simplify right side
    121,005.52x = 6,880,252,861.68
  5. Step 5: Solve for x
    x = 6,880,252,861.68/121,005.52
  6. Step 6: Final answer
    x = 56,859

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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.