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Finding the Fourth Proportional to 30,489.83, 45,733.86 and 8,303.39

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Solution

The fourth proportional to 30,489.83, 45,733.86 and 8,303.39 is: 12,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.83 : 45,733.86 = 8,303.39 : x
  2. Step 2: Convert to fraction form
    30,489.83/45,733.86 = 8,303.39/x
  3. Step 3: Cross multiply
    30,489.83x = 45,733.86 × 8,303.39
  4. Step 4: Simplify right side
    30,489.83x = 379,746,034.27
  5. Step 5: Solve for x
    x = 379,746,034.27/30,489.83
  6. Step 6: Final answer
    x = 12,454.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.