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Finding the Fourth Proportional to 53,036.86, 73,190.64 and 29,164.81

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Solution

The fourth proportional to 53,036.86, 73,190.64 and 29,164.81 is: 40,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,036.86 : 73,190.64 = 29,164.81 : x
  2. Step 2: Convert to fraction form
    53,036.86/73,190.64 = 29,164.81/x
  3. Step 3: Cross multiply
    53,036.86x = 73,190.64 × 29,164.81
  4. Step 4: Simplify right side
    53,036.86x = 2,134,591,109.38
  5. Step 5: Solve for x
    x = 2,134,591,109.38/53,036.86
  6. Step 6: Final answer
    x = 40,247.31

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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.