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Finding the Fourth Proportional to 30,201.63, 45,304.65 and 8,014.50

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Solution

The fourth proportional to 30,201.63, 45,304.65 and 8,014.50 is: 12,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.63 : 45,304.65 = 8,014.50 : x
  2. Step 2: Convert to fraction form
    30,201.63/45,304.65 = 8,014.50/x
  3. Step 3: Cross multiply
    30,201.63x = 45,304.65 × 8,014.50
  4. Step 4: Simplify right side
    30,201.63x = 363,094,117.43
  5. Step 5: Solve for x
    x = 363,094,117.43/30,201.63
  6. Step 6: Final answer
    x = 12,022.34

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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.