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Finding the Fourth Proportional to 35,378.80, 48,823.50 and 19,463.26

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Solution

The fourth proportional to 35,378.80, 48,823.50 and 19,463.26 is: 26,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,378.80 : 48,823.50 = 19,463.26 : x
  2. Step 2: Convert to fraction form
    35,378.80/48,823.50 = 19,463.26/x
  3. Step 3: Cross multiply
    35,378.80x = 48,823.50 × 19,463.26
  4. Step 4: Simplify right side
    35,378.80x = 950,264,474.61
  5. Step 5: Solve for x
    x = 950,264,474.61/35,378.80
  6. Step 6: Final answer
    x = 26,859.71

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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.