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Finding the Fourth Proportional to 57,095.26, 85,657.16 and 21,556.50

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Solution

The fourth proportional to 57,095.26, 85,657.16 and 21,556.50 is: 32,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,095.26 : 85,657.16 = 21,556.50 : x
  2. Step 2: Convert to fraction form
    57,095.26/85,657.16 = 21,556.50/x
  3. Step 3: Cross multiply
    57,095.26x = 85,657.16 × 21,556.50
  4. Step 4: Simplify right side
    57,095.26x = 1,846,468,569.54
  5. Step 5: Solve for x
    x = 1,846,468,569.54/57,095.26
  6. Step 6: Final answer
    x = 32,340.14

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Why These Related Problems?

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