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Finding the Fourth Proportional to 30,850.56, 46,278 and 15,264

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Solution

The fourth proportional to 30,850.56, 46,278 and 15,264 is: 22,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850.56 : 46,278 = 15,264 : x
  2. Step 2: Convert to fraction form
    30,850.56/46,278 = 15,264/x
  3. Step 3: Cross multiply
    30,850.56x = 46,278 × 15,264
  4. Step 4: Simplify right side
    30,850.56x = 706,387,392
  5. Step 5: Solve for x
    x = 706,387,392/30,850.56
  6. Step 6: Final answer
    x = 22,897.07

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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.