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Finding the Fourth Proportional to 52,327.76, 72,194.64 and 29,664.32

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Solution

The fourth proportional to 52,327.76, 72,194.64 and 29,664.32 is: 40,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,327.76 : 72,194.64 = 29,664.32 : x
  2. Step 2: Convert to fraction form
    52,327.76/72,194.64 = 29,664.32/x
  3. Step 3: Cross multiply
    52,327.76x = 72,194.64 × 29,664.32
  4. Step 4: Simplify right side
    52,327.76x = 2,141,604,903.24
  5. Step 5: Solve for x
    x = 2,141,604,903.24/52,327.76
  6. Step 6: Final answer
    x = 40,926.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.