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Finding the Fourth Proportional to 34,619.60, 47,775.24 and 19,512.50

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Solution

The fourth proportional to 34,619.60, 47,775.24 and 19,512.50 is: 26,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,619.60 : 47,775.24 = 19,512.50 : x
  2. Step 2: Convert to fraction form
    34,619.60/47,775.24 = 19,512.50/x
  3. Step 3: Cross multiply
    34,619.60x = 47,775.24 × 19,512.50
  4. Step 4: Simplify right side
    34,619.60x = 932,214,370.50
  5. Step 5: Solve for x
    x = 932,214,370.50/34,619.60
  6. Step 6: Final answer
    x = 26,927.36

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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.