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Finding the Fourth Proportional to 101,147.94, 151,703.10 and 33,681.02

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Solution

The fourth proportional to 101,147.94, 151,703.10 and 33,681.02 is: 50,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,147.94 : 151,703.10 = 33,681.02 : x
  2. Step 2: Convert to fraction form
    101,147.94/151,703.10 = 33,681.02/x
  3. Step 3: Cross multiply
    101,147.94x = 151,703.10 × 33,681.02
  4. Step 4: Simplify right side
    101,147.94x = 5,109,514,386.65
  5. Step 5: Solve for x
    x = 5,109,514,386.65/101,147.94
  6. Step 6: Final answer
    x = 50,515.26

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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.