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Finding the Fourth Proportional to 92,135.64, 138,232.68 and 32,970

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Solution

The fourth proportional to 92,135.64, 138,232.68 and 32,970 is: 49,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,135.64 : 138,232.68 = 32,970 : x
  2. Step 2: Convert to fraction form
    92,135.64/138,232.68 = 32,970/x
  3. Step 3: Cross multiply
    92,135.64x = 138,232.68 × 32,970
  4. Step 4: Simplify right side
    92,135.64x = 4,557,531,459.60
  5. Step 5: Solve for x
    x = 4,557,531,459.60/92,135.64
  6. Step 6: Final answer
    x = 49,465.46

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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.