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Finding the Fourth Proportional to 102,358.92, 153,507.40 and 35,786.64

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Solution

The fourth proportional to 102,358.92, 153,507.40 and 35,786.64 is: 53,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,358.92 : 153,507.40 = 35,786.64 : x
  2. Step 2: Convert to fraction form
    102,358.92/153,507.40 = 35,786.64/x
  3. Step 3: Cross multiply
    102,358.92x = 153,507.40 × 35,786.64
  4. Step 4: Simplify right side
    102,358.92x = 5,493,514,061.14
  5. Step 5: Solve for x
    x = 5,493,514,061.14/102,358.92
  6. Step 6: Final answer
    x = 53,669.13

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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.