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Finding the Fourth Proportional to 101,585.83, 152,388.77 and 35,017.19

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Solution

The fourth proportional to 101,585.83, 152,388.77 and 35,017.19 is: 52,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,585.83 : 152,388.77 = 35,017.19 : x
  2. Step 2: Convert to fraction form
    101,585.83/152,388.77 = 35,017.19/x
  3. Step 3: Cross multiply
    101,585.83x = 152,388.77 × 35,017.19
  4. Step 4: Simplify right side
    101,585.83x = 5,336,227,103.06
  5. Step 5: Solve for x
    x = 5,336,227,103.06/101,585.83
  6. Step 6: Final answer
    x = 52,529.25

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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.