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Finding the Fourth Proportional to 50,258.44, 75,387.66 and 22,537

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Solution

The fourth proportional to 50,258.44, 75,387.66 and 22,537 is: 33,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,258.44 : 75,387.66 = 22,537 : x
  2. Step 2: Convert to fraction form
    50,258.44/75,387.66 = 22,537/x
  3. Step 3: Cross multiply
    50,258.44x = 75,387.66 × 22,537
  4. Step 4: Simplify right side
    50,258.44x = 1,699,011,693.42
  5. Step 5: Solve for x
    x = 1,699,011,693.42/50,258.44
  6. Step 6: Final answer
    x = 33,805.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.