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Finding the Fourth Proportional to 75,102.63, 103,643.24 and 41,568.63

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Solution

The fourth proportional to 75,102.63, 103,643.24 and 41,568.63 is: 57,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102.63 : 103,643.24 = 41,568.63 : x
  2. Step 2: Convert to fraction form
    75,102.63/103,643.24 = 41,568.63/x
  3. Step 3: Cross multiply
    75,102.63x = 103,643.24 × 41,568.63
  4. Step 4: Simplify right side
    75,102.63x = 4,308,307,495.56
  5. Step 5: Solve for x
    x = 4,308,307,495.56/75,102.63
  6. Step 6: Final answer
    x = 57,365.60

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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.