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Finding the Fourth Proportional to 53,127.52, 73,315.42 and 31,632

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Solution

The fourth proportional to 53,127.52, 73,315.42 and 31,632 is: 43,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,127.52 : 73,315.42 = 31,632 : x
  2. Step 2: Convert to fraction form
    53,127.52/73,315.42 = 31,632/x
  3. Step 3: Cross multiply
    53,127.52x = 73,315.42 × 31,632
  4. Step 4: Simplify right side
    53,127.52x = 2,319,113,365.44
  5. Step 5: Solve for x
    x = 2,319,113,365.44/53,127.52
  6. Step 6: Final answer
    x = 43,651.83

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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.