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Finding the Fourth Proportional to 34,101.60, 47,081.84 and 23,364.64

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Solution

The fourth proportional to 34,101.60, 47,081.84 and 23,364.64 is: 32,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,101.60 : 47,081.84 = 23,364.64 : x
  2. Step 2: Convert to fraction form
    34,101.60/47,081.84 = 23,364.64/x
  3. Step 3: Cross multiply
    34,101.60x = 47,081.84 × 23,364.64
  4. Step 4: Simplify right side
    34,101.60x = 1,100,050,242.14
  5. Step 5: Solve for x
    x = 1,100,050,242.14/34,101.60
  6. Step 6: Final answer
    x = 32,258.02

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