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Finding the Fourth Proportional to 75,022.16, 103,526.52 and 41,486

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Solution

The fourth proportional to 75,022.16, 103,526.52 and 41,486 is: 57,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,022.16 : 103,526.52 = 41,486 : x
  2. Step 2: Convert to fraction form
    75,022.16/103,526.52 = 41,486/x
  3. Step 3: Cross multiply
    75,022.16x = 103,526.52 × 41,486
  4. Step 4: Simplify right side
    75,022.16x = 4,294,901,208.72
  5. Step 5: Solve for x
    x = 4,294,901,208.72/75,022.16
  6. Step 6: Final answer
    x = 57,248.43

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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.