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Finding the Fourth Proportional to 30,022.86, 45,034.28 and 7,836.04

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Solution

The fourth proportional to 30,022.86, 45,034.28 and 7,836.04 is: 11,754.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,022.86 : 45,034.28 = 7,836.04 : x
  2. Step 2: Convert to fraction form
    30,022.86/45,034.28 = 7,836.04/x
  3. Step 3: Cross multiply
    30,022.86x = 45,034.28 × 7,836.04
  4. Step 4: Simplify right side
    30,022.86x = 352,890,326.46
  5. Step 5: Solve for x
    x = 352,890,326.46/30,022.86
  6. Step 6: Final answer
    x = 11,754.06

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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.