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Finding the Fourth Proportional to 58,412, 87,680.38 and 25,148.56

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Solution

The fourth proportional to 58,412, 87,680.38 and 25,148.56 is: 37,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,412 : 87,680.38 = 25,148.56 : x
  2. Step 2: Convert to fraction form
    58,412/87,680.38 = 25,148.56/x
  3. Step 3: Cross multiply
    58,412x = 87,680.38 × 25,148.56
  4. Step 4: Simplify right side
    58,412x = 2,205,035,297.25
  5. Step 5: Solve for x
    x = 2,205,035,297.25/58,412
  6. Step 6: Final answer
    x = 37,749.70

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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.