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Finding the Fourth Proportional to 109,978.03, 164,965.02 and 35,097.58

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Solution

The fourth proportional to 109,978.03, 164,965.02 and 35,097.58 is: 52,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,978.03 : 164,965.02 = 35,097.58 : x
  2. Step 2: Convert to fraction form
    109,978.03/164,965.02 = 35,097.58/x
  3. Step 3: Cross multiply
    109,978.03x = 164,965.02 × 35,097.58
  4. Step 4: Simplify right side
    109,978.03x = 5,789,872,986.65
  5. Step 5: Solve for x
    x = 5,789,872,986.65/109,978.03
  6. Step 6: Final answer
    x = 52,645.72

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1.5x scale

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.