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Finding the Fourth Proportional to 141,028.44, 211,543.32 and 47,535

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Solution

The fourth proportional to 141,028.44, 211,543.32 and 47,535 is: 71,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,028.44 : 211,543.32 = 47,535 : x
  2. Step 2: Convert to fraction form
    141,028.44/211,543.32 = 47,535/x
  3. Step 3: Cross multiply
    141,028.44x = 211,543.32 × 47,535
  4. Step 4: Simplify right side
    141,028.44x = 10,055,711,716.20
  5. Step 5: Solve for x
    x = 10,055,711,716.20/141,028.44
  6. Step 6: Final answer
    x = 71,302.72

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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.