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Finding the Fourth Proportional to 30,042.50, 45,066.31 and 7,855.85

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Solution

The fourth proportional to 30,042.50, 45,066.31 and 7,855.85 is: 11,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,042.50 : 45,066.31 = 7,855.85 : x
  2. Step 2: Convert to fraction form
    30,042.50/45,066.31 = 7,855.85/x
  3. Step 3: Cross multiply
    30,042.50x = 45,066.31 × 7,855.85
  4. Step 4: Simplify right side
    30,042.50x = 354,034,264.44
  5. Step 5: Solve for x
    x = 354,034,264.44/30,042.50
  6. Step 6: Final answer
    x = 11,784.45

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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.