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Finding the Fourth Proportional to 75,141, 103,697.82 and 41,607

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Solution

The fourth proportional to 75,141, 103,697.82 and 41,607 is: 57,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,141 : 103,697.82 = 41,607 : x
  2. Step 2: Convert to fraction form
    75,141/103,697.82 = 41,607/x
  3. Step 3: Cross multiply
    75,141x = 103,697.82 × 41,607
  4. Step 4: Simplify right side
    75,141x = 4,314,555,196.74
  5. Step 5: Solve for x
    x = 4,314,555,196.74/75,141
  6. Step 6: Final answer
    x = 57,419.45

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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.