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Finding the Fourth Proportional to 32,026.64, 47,829.70 and 27,296.24

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Solution

The fourth proportional to 32,026.64, 47,829.70 and 27,296.24 is: 40,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026.64 : 47,829.70 = 27,296.24 : x
  2. Step 2: Convert to fraction form
    32,026.64/47,829.70 = 27,296.24/x
  3. Step 3: Cross multiply
    32,026.64x = 47,829.70 × 27,296.24
  4. Step 4: Simplify right side
    32,026.64x = 1,305,570,970.33
  5. Step 5: Solve for x
    x = 1,305,570,970.33/32,026.64
  6. Step 6: Final answer
    x = 40,765.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.