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Finding the Fourth Proportional to 75,276, 103,883.04 and 41,744.16

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Solution

The fourth proportional to 75,276, 103,883.04 and 41,744.16 is: 57,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,276 : 103,883.04 = 41,744.16 : x
  2. Step 2: Convert to fraction form
    75,276/103,883.04 = 41,744.16/x
  3. Step 3: Cross multiply
    75,276x = 103,883.04 × 41,744.16
  4. Step 4: Simplify right side
    75,276x = 4,336,510,243.05
  5. Step 5: Solve for x
    x = 4,336,510,243.05/75,276
  6. Step 6: Final answer
    x = 57,608.14

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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.