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Finding the Fourth Proportional to 92,494.63, 138,688.10 and 36,268.84

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Solution

The fourth proportional to 92,494.63, 138,688.10 and 36,268.84 is: 54,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,494.63 : 138,688.10 = 36,268.84 : x
  2. Step 2: Convert to fraction form
    92,494.63/138,688.10 = 36,268.84/x
  3. Step 3: Cross multiply
    92,494.63x = 138,688.10 × 36,268.84
  4. Step 4: Simplify right side
    92,494.63x = 5,030,056,327.46
  5. Step 5: Solve for x
    x = 5,030,056,327.46/92,494.63
  6. Step 6: Final answer
    x = 54,382.14

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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.