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Finding the Fourth Proportional to 53,106.38, 73,288.89 and 29,235.27

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Solution

The fourth proportional to 53,106.38, 73,288.89 and 29,235.27 is: 40,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,106.38 : 73,288.89 = 29,235.27 : x
  2. Step 2: Convert to fraction form
    53,106.38/73,288.89 = 29,235.27/x
  3. Step 3: Cross multiply
    53,106.38x = 73,288.89 × 29,235.27
  4. Step 4: Simplify right side
    53,106.38x = 2,142,620,487.15
  5. Step 5: Solve for x
    x = 2,142,620,487.15/53,106.38
  6. Step 6: Final answer
    x = 40,345.82

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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.