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Finding the Fourth Proportional to 35,275.50, 48,636.99 and 27,698.22

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Solution

The fourth proportional to 35,275.50, 48,636.99 and 27,698.22 is: 38,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,275.50 : 48,636.99 = 27,698.22 : x
  2. Step 2: Convert to fraction form
    35,275.50/48,636.99 = 27,698.22/x
  3. Step 3: Cross multiply
    35,275.50x = 48,636.99 × 27,698.22
  4. Step 4: Simplify right side
    35,275.50x = 1,347,158,049.16
  5. Step 5: Solve for x
    x = 1,347,158,049.16/35,275.50
  6. Step 6: Final answer
    x = 38,189.62

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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.