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Finding the Fourth Proportional to 30,053.46, 45,084.29 and 12,519.19

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Solution

The fourth proportional to 30,053.46, 45,084.29 and 12,519.19 is: 18,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,053.46 : 45,084.29 = 12,519.19 : x
  2. Step 2: Convert to fraction form
    30,053.46/45,084.29 = 12,519.19/x
  3. Step 3: Cross multiply
    30,053.46x = 45,084.29 × 12,519.19
  4. Step 4: Simplify right side
    30,053.46x = 564,418,687.64
  5. Step 5: Solve for x
    x = 564,418,687.64/30,053.46
  6. Step 6: Final answer
    x = 18,780.49

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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.