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Finding the Fourth Proportional to 106,109.56, 159,166.80 and 35,009.40

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Solution

The fourth proportional to 106,109.56, 159,166.80 and 35,009.40 is: 52,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,109.56 : 159,166.80 = 35,009.40 : x
  2. Step 2: Convert to fraction form
    106,109.56/159,166.80 = 35,009.40/x
  3. Step 3: Cross multiply
    106,109.56x = 159,166.80 × 35,009.40
  4. Step 4: Simplify right side
    106,109.56x = 5,572,334,167.92
  5. Step 5: Solve for x
    x = 5,572,334,167.92/106,109.56
  6. Step 6: Final answer
    x = 52,514.91

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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.