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Finding the Fourth Proportional to 101,536.04, 152,338.08 and 35,022.08

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Solution

The fourth proportional to 101,536.04, 152,338.08 and 35,022.08 is: 52,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,536.04 : 152,338.08 = 35,022.08 : x
  2. Step 2: Convert to fraction form
    101,536.04/152,338.08 = 35,022.08/x
  3. Step 3: Cross multiply
    101,536.04x = 152,338.08 × 35,022.08
  4. Step 4: Simplify right side
    101,536.04x = 5,335,196,424.81
  5. Step 5: Solve for x
    x = 5,335,196,424.81/101,536.04
  6. Step 6: Final answer
    x = 52,544.85

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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.