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Finding the Fourth Proportional to 34,783.68, 52,138.08 and 14,001.60

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Solution

The fourth proportional to 34,783.68, 52,138.08 and 14,001.60 is: 20,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,783.68 : 52,138.08 = 14,001.60 : x
  2. Step 2: Convert to fraction form
    34,783.68/52,138.08 = 14,001.60/x
  3. Step 3: Cross multiply
    34,783.68x = 52,138.08 × 14,001.60
  4. Step 4: Simplify right side
    34,783.68x = 730,016,540.93
  5. Step 5: Solve for x
    x = 730,016,540.93/34,783.68
  6. Step 6: Final answer
    x = 20,987.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.