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Finding the Fourth Proportional to 57,295.80, 85,943.52 and 32,324.40

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Solution

The fourth proportional to 57,295.80, 85,943.52 and 32,324.40 is: 48,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,295.80 : 85,943.52 = 32,324.40 : x
  2. Step 2: Convert to fraction form
    57,295.80/85,943.52 = 32,324.40/x
  3. Step 3: Cross multiply
    57,295.80x = 85,943.52 × 32,324.40
  4. Step 4: Simplify right side
    57,295.80x = 2,778,072,717.89
  5. Step 5: Solve for x
    x = 2,778,072,717.89/57,295.80
  6. Step 6: Final answer
    x = 48,486.50

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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.