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Finding the Fourth Proportional to 92,245.68, 138,193.56 and 54,726.48

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Solution

The fourth proportional to 92,245.68, 138,193.56 and 54,726.48 is: 81,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,245.68 : 138,193.56 = 54,726.48 : x
  2. Step 2: Convert to fraction form
    92,245.68/138,193.56 = 54,726.48/x
  3. Step 3: Cross multiply
    92,245.68x = 138,193.56 × 54,726.48
  4. Step 4: Simplify right side
    92,245.68x = 7,562,847,097.47
  5. Step 5: Solve for x
    x = 7,562,847,097.47/92,245.68
  6. Step 6: Final answer
    x = 81,985.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.