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Finding the Fourth Proportional to 55,109.50, 76,051.14 and 29,959

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Solution

The fourth proportional to 55,109.50, 76,051.14 and 29,959 is: 41,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,109.50 : 76,051.14 = 29,959 : x
  2. Step 2: Convert to fraction form
    55,109.50/76,051.14 = 29,959/x
  3. Step 3: Cross multiply
    55,109.50x = 76,051.14 × 29,959
  4. Step 4: Simplify right side
    55,109.50x = 2,278,416,103.26
  5. Step 5: Solve for x
    x = 2,278,416,103.26/55,109.50
  6. Step 6: Final answer
    x = 41,343.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.