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Finding the Fourth Proportional to 30,279.47, 45,419.22 and 14,480.78

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Solution

The fourth proportional to 30,279.47, 45,419.22 and 14,480.78 is: 21,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279.47 : 45,419.22 = 14,480.78 : x
  2. Step 2: Convert to fraction form
    30,279.47/45,419.22 = 14,480.78/x
  3. Step 3: Cross multiply
    30,279.47x = 45,419.22 × 14,480.78
  4. Step 4: Simplify right side
    30,279.47x = 657,705,505.50
  5. Step 5: Solve for x
    x = 657,705,505.50/30,279.47
  6. Step 6: Final answer
    x = 21,721.17

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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.