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Finding the Fourth Proportional to 100,565.51, 150,864.60 and 34,009.70

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Solution

The fourth proportional to 100,565.51, 150,864.60 and 34,009.70 is: 51,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565.51 : 150,864.60 = 34,009.70 : x
  2. Step 2: Convert to fraction form
    100,565.51/150,864.60 = 34,009.70/x
  3. Step 3: Cross multiply
    100,565.51x = 150,864.60 × 34,009.70
  4. Step 4: Simplify right side
    100,565.51x = 5,130,859,786.62
  5. Step 5: Solve for x
    x = 5,130,859,786.62/100,565.51
  6. Step 6: Final answer
    x = 51,020.07

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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.