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Finding the Fourth Proportional to 53,462.52, 80,034 and 32,338.63

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Solution

The fourth proportional to 53,462.52, 80,034 and 32,338.63 is: 48,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,462.52 : 80,034 = 32,338.63 : x
  2. Step 2: Convert to fraction form
    53,462.52/80,034 = 32,338.63/x
  3. Step 3: Cross multiply
    53,462.52x = 80,034 × 32,338.63
  4. Step 4: Simplify right side
    53,462.52x = 2,588,189,913.42
  5. Step 5: Solve for x
    x = 2,588,189,913.42/53,462.52
  6. Step 6: Final answer
    x = 48,411.30

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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.