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Finding the Fourth Proportional to 39,096.45, 53,953.16 and 21,191.45

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Solution

The fourth proportional to 39,096.45, 53,953.16 and 21,191.45 is: 29,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,096.45 : 53,953.16 = 21,191.45 : x
  2. Step 2: Convert to fraction form
    39,096.45/53,953.16 = 21,191.45/x
  3. Step 3: Cross multiply
    39,096.45x = 53,953.16 × 21,191.45
  4. Step 4: Simplify right side
    39,096.45x = 1,143,345,316.76
  5. Step 5: Solve for x
    x = 1,143,345,316.76/39,096.45
  6. Step 6: Final answer
    x = 29,244.22

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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.