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Finding the Fourth Proportional to 109,903.52, 164,853.48 and 35,022.65

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Solution

The fourth proportional to 109,903.52, 164,853.48 and 35,022.65 is: 52,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,903.52 : 164,853.48 = 35,022.65 : x
  2. Step 2: Convert to fraction form
    109,903.52/164,853.48 = 35,022.65/x
  3. Step 3: Cross multiply
    109,903.52x = 164,853.48 × 35,022.65
  4. Step 4: Simplify right side
    109,903.52x = 5,773,604,907.05
  5. Step 5: Solve for x
    x = 5,773,604,907.05/109,903.52
  6. Step 6: Final answer
    x = 52,533.40

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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.