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Finding the Fourth Proportional to 53,392.15, 73,678.22 and 29,517.40

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Solution

The fourth proportional to 53,392.15, 73,678.22 and 29,517.40 is: 40,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,392.15 : 73,678.22 = 29,517.40 : x
  2. Step 2: Convert to fraction form
    53,392.15/73,678.22 = 29,517.40/x
  3. Step 3: Cross multiply
    53,392.15x = 73,678.22 × 29,517.40
  4. Step 4: Simplify right side
    53,392.15x = 2,174,789,159.25
  5. Step 5: Solve for x
    x = 2,174,789,159.25/53,392.15
  6. Step 6: Final answer
    x = 40,732.38

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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.