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Finding the Fourth Proportional to 53,764.43, 74,196.51 and 29,564.13

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Solution

The fourth proportional to 53,764.43, 74,196.51 and 29,564.13 is: 40,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,764.43 : 74,196.51 = 29,564.13 : x
  2. Step 2: Convert to fraction form
    53,764.43/74,196.51 = 29,564.13/x
  3. Step 3: Cross multiply
    53,764.43x = 74,196.51 × 29,564.13
  4. Step 4: Simplify right side
    53,764.43x = 2,193,555,267.19
  5. Step 5: Solve for x
    x = 2,193,555,267.19/53,764.43
  6. Step 6: Final answer
    x = 40,799.38

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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.