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Finding the Fourth Proportional to 30,499.15, 45,744 and 8,314.32

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Solution

The fourth proportional to 30,499.15, 45,744 and 8,314.32 is: 12,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,499.15 : 45,744 = 8,314.32 : x
  2. Step 2: Convert to fraction form
    30,499.15/45,744 = 8,314.32/x
  3. Step 3: Cross multiply
    30,499.15x = 45,744 × 8,314.32
  4. Step 4: Simplify right side
    30,499.15x = 380,330,254.08
  5. Step 5: Solve for x
    x = 380,330,254.08/30,499.15
  6. Step 6: Final answer
    x = 12,470.19

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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.