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Finding the Fourth Proportional to 92,762.82, 138,958.74 and 42,774.48

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Solution

The fourth proportional to 92,762.82, 138,958.74 and 42,774.48 is: 64,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,762.82 : 138,958.74 = 42,774.48 : x
  2. Step 2: Convert to fraction form
    92,762.82/138,958.74 = 42,774.48/x
  3. Step 3: Cross multiply
    92,762.82x = 138,958.74 × 42,774.48
  4. Step 4: Simplify right side
    92,762.82x = 5,943,887,844.96
  5. Step 5: Solve for x
    x = 5,943,887,844.96/92,762.82
  6. Step 6: Final answer
    x = 64,076.19

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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.