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Finding the Fourth Proportional to 30,165.74, 45,003.67 and 28,532.78

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Solution

The fourth proportional to 30,165.74, 45,003.67 and 28,532.78 is: 42,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165.74 : 45,003.67 = 28,532.78 : x
  2. Step 2: Convert to fraction form
    30,165.74/45,003.67 = 28,532.78/x
  3. Step 3: Cross multiply
    30,165.74x = 45,003.67 × 28,532.78
  4. Step 4: Simplify right side
    30,165.74x = 1,284,079,815.30
  5. Step 5: Solve for x
    x = 1,284,079,815.30/30,165.74
  6. Step 6: Final answer
    x = 42,567.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.