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Finding the Fourth Proportional to 53,575.76, 73,932.92 and 29,701

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Solution

The fourth proportional to 53,575.76, 73,932.92 and 29,701 is: 40,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,575.76 : 73,932.92 = 29,701 : x
  2. Step 2: Convert to fraction form
    53,575.76/73,932.92 = 29,701/x
  3. Step 3: Cross multiply
    53,575.76x = 73,932.92 × 29,701
  4. Step 4: Simplify right side
    53,575.76x = 2,195,881,656.92
  5. Step 5: Solve for x
    x = 2,195,881,656.92/53,575.76
  6. Step 6: Final answer
    x = 40,986.48

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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.