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Finding the Fourth Proportional to 30,625.88, 45,934.61 and 8,436.06

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Solution

The fourth proportional to 30,625.88, 45,934.61 and 8,436.06 is: 12,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,625.88 : 45,934.61 = 8,436.06 : x
  2. Step 2: Convert to fraction form
    30,625.88/45,934.61 = 8,436.06/x
  3. Step 3: Cross multiply
    30,625.88x = 45,934.61 × 8,436.06
  4. Step 4: Simplify right side
    30,625.88x = 387,507,083.86
  5. Step 5: Solve for x
    x = 387,507,083.86/30,625.88
  6. Step 6: Final answer
    x = 12,652.93

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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.