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Finding the Fourth Proportional to 53,039.48, 73,176.16 and 32,889.12

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Solution

The fourth proportional to 53,039.48, 73,176.16 and 32,889.12 is: 45,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,039.48 : 73,176.16 = 32,889.12 : x
  2. Step 2: Convert to fraction form
    53,039.48/73,176.16 = 32,889.12/x
  3. Step 3: Cross multiply
    53,039.48x = 73,176.16 × 32,889.12
  4. Step 4: Simplify right side
    53,039.48x = 2,406,699,507.38
  5. Step 5: Solve for x
    x = 2,406,699,507.38/53,039.48
  6. Step 6: Final answer
    x = 45,375.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.