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Finding the Fourth Proportional to 53,691.76, 74,094.56 and 29,822

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Solution

The fourth proportional to 53,691.76, 74,094.56 and 29,822 is: 41,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,691.76 : 74,094.56 = 29,822 : x
  2. Step 2: Convert to fraction form
    53,691.76/74,094.56 = 29,822/x
  3. Step 3: Cross multiply
    53,691.76x = 74,094.56 × 29,822
  4. Step 4: Simplify right side
    53,691.76x = 2,209,647,968.32
  5. Step 5: Solve for x
    x = 2,209,647,968.32/53,691.76
  6. Step 6: Final answer
    x = 41,154.32

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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.