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Finding the Fourth Proportional to 57,471.63, 86,095.36 and 32,435.94

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Solution

The fourth proportional to 57,471.63, 86,095.36 and 32,435.94 is: 48,590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,471.63 : 86,095.36 = 32,435.94 : x
  2. Step 2: Convert to fraction form
    57,471.63/86,095.36 = 32,435.94/x
  3. Step 3: Cross multiply
    57,471.63x = 86,095.36 × 32,435.94
  4. Step 4: Simplify right side
    57,471.63x = 2,792,584,112.19
  5. Step 5: Solve for x
    x = 2,792,584,112.19/57,471.63
  6. Step 6: Final answer
    x = 48,590.66

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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.