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Finding the Fourth Proportional to 53,138.72, 73,331.53 and 29,265.46

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Solution

The fourth proportional to 53,138.72, 73,331.53 and 29,265.46 is: 40,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,138.72 : 73,331.53 = 29,265.46 : x
  2. Step 2: Convert to fraction form
    53,138.72/73,331.53 = 29,265.46/x
  3. Step 3: Cross multiply
    53,138.72x = 73,331.53 × 29,265.46
  4. Step 4: Simplify right side
    53,138.72x = 2,146,080,701.46
  5. Step 5: Solve for x
    x = 2,146,080,701.46/53,138.72
  6. Step 6: Final answer
    x = 40,386.38

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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.