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Finding the Fourth Proportional to 35,295.49, 48,708.56 and 19,380

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Solution

The fourth proportional to 35,295.49, 48,708.56 and 19,380 is: 26,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,295.49 : 48,708.56 = 19,380 : x
  2. Step 2: Convert to fraction form
    35,295.49/48,708.56 = 19,380/x
  3. Step 3: Cross multiply
    35,295.49x = 48,708.56 × 19,380
  4. Step 4: Simplify right side
    35,295.49x = 943,971,795.90
  5. Step 5: Solve for x
    x = 943,971,795.90/35,295.49
  6. Step 6: Final answer
    x = 26,744.83

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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.