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Finding the Fourth Proportional to 102,004.65, 153,057.26 and 45,884.48

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Solution

The fourth proportional to 102,004.65, 153,057.26 and 45,884.48 is: 68,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004.65 : 153,057.26 = 45,884.48 : x
  2. Step 2: Convert to fraction form
    102,004.65/153,057.26 = 45,884.48/x
  3. Step 3: Cross multiply
    102,004.65x = 153,057.26 × 45,884.48
  4. Step 4: Simplify right side
    102,004.65x = 7,022,952,134.75
  5. Step 5: Solve for x
    x = 7,022,952,134.75/102,004.65
  6. Step 6: Final answer
    x = 68,849.33

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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.