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Finding the Fourth Proportional to 56,654.17, 78,192.54 and 32,794

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Solution

The fourth proportional to 56,654.17, 78,192.54 and 32,794 is: 45,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,654.17 : 78,192.54 = 32,794 : x
  2. Step 2: Convert to fraction form
    56,654.17/78,192.54 = 32,794/x
  3. Step 3: Cross multiply
    56,654.17x = 78,192.54 × 32,794
  4. Step 4: Simplify right side
    56,654.17x = 2,564,246,156.76
  5. Step 5: Solve for x
    x = 2,564,246,156.76/56,654.17
  6. Step 6: Final answer
    x = 45,261.38

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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.