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Finding the Fourth Proportional to 35,300.75, 48,725.97 and 22,725.50

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Solution

The fourth proportional to 35,300.75, 48,725.97 and 22,725.50 is: 31,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,300.75 : 48,725.97 = 22,725.50 : x
  2. Step 2: Convert to fraction form
    35,300.75/48,725.97 = 22,725.50/x
  3. Step 3: Cross multiply
    35,300.75x = 48,725.97 × 22,725.50
  4. Step 4: Simplify right side
    35,300.75x = 1,107,322,031.24
  5. Step 5: Solve for x
    x = 1,107,322,031.24/35,300.75
  6. Step 6: Final answer
    x = 31,368.23

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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.