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Finding the Fourth Proportional to 75,021, 103,528.98 and 41,487

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Solution

The fourth proportional to 75,021, 103,528.98 and 41,487 is: 57,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,021 : 103,528.98 = 41,487 : x
  2. Step 2: Convert to fraction form
    75,021/103,528.98 = 41,487/x
  3. Step 3: Cross multiply
    75,021x = 103,528.98 × 41,487
  4. Step 4: Simplify right side
    75,021x = 4,295,106,793.26
  5. Step 5: Solve for x
    x = 4,295,106,793.26/75,021
  6. Step 6: Final answer
    x = 57,252.06

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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.