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Finding the Fourth Proportional to 34,556.02, 47,657.91 and 27,839.50

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Solution

The fourth proportional to 34,556.02, 47,657.91 and 27,839.50 is: 38,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,556.02 : 47,657.91 = 27,839.50 : x
  2. Step 2: Convert to fraction form
    34,556.02/47,657.91 = 27,839.50/x
  3. Step 3: Cross multiply
    34,556.02x = 47,657.91 × 27,839.50
  4. Step 4: Simplify right side
    34,556.02x = 1,326,772,385.45
  5. Step 5: Solve for x
    x = 1,326,772,385.45/34,556.02
  6. Step 6: Final answer
    x = 38,394.83

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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.