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Finding the Fourth Proportional to 75,253, 103,852.38 and 41,719

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Solution

The fourth proportional to 75,253, 103,852.38 and 41,719 is: 57,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,253 : 103,852.38 = 41,719 : x
  2. Step 2: Convert to fraction form
    75,253/103,852.38 = 41,719/x
  3. Step 3: Cross multiply
    75,253x = 103,852.38 × 41,719
  4. Step 4: Simplify right side
    75,253x = 4,332,617,441.22
  5. Step 5: Solve for x
    x = 4,332,617,441.22/75,253
  6. Step 6: Final answer
    x = 57,574.02

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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.