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Finding the Fourth Proportional to 100,053.83, 150,080.75 and 47,434.61

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Solution

The fourth proportional to 100,053.83, 150,080.75 and 47,434.61 is: 71,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,053.83 : 150,080.75 = 47,434.61 : x
  2. Step 2: Convert to fraction form
    100,053.83/150,080.75 = 47,434.61/x
  3. Step 3: Cross multiply
    100,053.83x = 150,080.75 × 47,434.61
  4. Step 4: Simplify right side
    100,053.83x = 7,119,021,844.76
  5. Step 5: Solve for x
    x = 7,119,021,844.76/100,053.83
  6. Step 6: Final answer
    x = 71,151.92

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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.