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Finding the Fourth Proportional to 35,767.16, 53,389.19 and 33,165.08

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Solution

The fourth proportional to 35,767.16, 53,389.19 and 33,165.08 is: 49,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,767.16 : 53,389.19 = 33,165.08 : x
  2. Step 2: Convert to fraction form
    35,767.16/53,389.19 = 33,165.08/x
  3. Step 3: Cross multiply
    35,767.16x = 53,389.19 × 33,165.08
  4. Step 4: Simplify right side
    35,767.16x = 1,770,656,324.71
  5. Step 5: Solve for x
    x = 1,770,656,324.71/35,767.16
  6. Step 6: Final answer
    x = 49,505.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.