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Finding the Fourth Proportional to 60,419, 90,647.76 and 25,349.24

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Solution

The fourth proportional to 60,419, 90,647.76 and 25,349.24 is: 38,031.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,419 : 90,647.76 = 25,349.24 : x
  2. Step 2: Convert to fraction form
    60,419/90,647.76 = 25,349.24/x
  3. Step 3: Cross multiply
    60,419x = 90,647.76 × 25,349.24
  4. Step 4: Simplify right side
    60,419x = 2,297,851,823.70
  5. Step 5: Solve for x
    x = 2,297,851,823.70/60,419
  6. Step 6: Final answer
    x = 38,031.94

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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.