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Finding the Fourth Proportional to 34,981, 52,480.38 and 10,357

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Solution

The fourth proportional to 34,981, 52,480.38 and 10,357 is: 15,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,981 : 52,480.38 = 10,357 : x
  2. Step 2: Convert to fraction form
    34,981/52,480.38 = 10,357/x
  3. Step 3: Cross multiply
    34,981x = 52,480.38 × 10,357
  4. Step 4: Simplify right side
    34,981x = 543,539,295.66
  5. Step 5: Solve for x
    x = 543,539,295.66/34,981
  6. Step 6: Final answer
    x = 15,538.13

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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.