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Finding the Fourth Proportional to 92,293.86, 138,343.59 and 47,873.46

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Solution

The fourth proportional to 92,293.86, 138,343.59 and 47,873.46 is: 71,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,293.86 : 138,343.59 = 47,873.46 : x
  2. Step 2: Convert to fraction form
    92,293.86/138,343.59 = 47,873.46/x
  3. Step 3: Cross multiply
    92,293.86x = 138,343.59 × 47,873.46
  4. Step 4: Simplify right side
    92,293.86x = 6,622,986,322.12
  5. Step 5: Solve for x
    x = 6,622,986,322.12/92,293.86
  6. Step 6: Final answer
    x = 71,759.77

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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.