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Finding the Fourth Proportional to 53,699.72, 74,105.62 and 29,828.62

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Solution

The fourth proportional to 53,699.72, 74,105.62 and 29,828.62 is: 41,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,699.72 : 74,105.62 = 29,828.62 : x
  2. Step 2: Convert to fraction form
    53,699.72/74,105.62 = 29,828.62/x
  3. Step 3: Cross multiply
    53,699.72x = 74,105.62 × 29,828.62
  4. Step 4: Simplify right side
    53,699.72x = 2,210,468,378.84
  5. Step 5: Solve for x
    x = 2,210,468,378.84/53,699.72
  6. Step 6: Final answer
    x = 41,163.50

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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.