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Finding the Fourth Proportional to 75,219, 103,802.22 and 41,228.58

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Solution

The fourth proportional to 75,219, 103,802.22 and 41,228.58 is: 56,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,219 : 103,802.22 = 41,228.58 : x
  2. Step 2: Convert to fraction form
    75,219/103,802.22 = 41,228.58/x
  3. Step 3: Cross multiply
    75,219x = 103,802.22 × 41,228.58
  4. Step 4: Simplify right side
    75,219x = 4,279,618,131.45
  5. Step 5: Solve for x
    x = 4,279,618,131.45/75,219
  6. Step 6: Final answer
    x = 56,895.44

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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.