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Finding the Fourth Proportional to 92,494.64, 138,742.02 and 22,374.02

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Solution

The fourth proportional to 92,494.64, 138,742.02 and 22,374.02 is: 33,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,494.64 : 138,742.02 = 22,374.02 : x
  2. Step 2: Convert to fraction form
    92,494.64/138,742.02 = 22,374.02/x
  3. Step 3: Cross multiply
    92,494.64x = 138,742.02 × 22,374.02
  4. Step 4: Simplify right side
    92,494.64x = 3,104,216,730.32
  5. Step 5: Solve for x
    x = 3,104,216,730.32/92,494.64
  6. Step 6: Final answer
    x = 33,561.04

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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.