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Finding the Fourth Proportional to 53,732.54, 74,148.66 and 29,859

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Solution

The fourth proportional to 53,732.54, 74,148.66 and 29,859 is: 41,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,732.54 : 74,148.66 = 29,859 : x
  2. Step 2: Convert to fraction form
    53,732.54/74,148.66 = 29,859/x
  3. Step 3: Cross multiply
    53,732.54x = 74,148.66 × 29,859
  4. Step 4: Simplify right side
    53,732.54x = 2,214,004,838.94
  5. Step 5: Solve for x
    x = 2,214,004,838.94/53,732.54
  6. Step 6: Final answer
    x = 41,204.17

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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.