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Finding the Fourth Proportional to 30,439.32, 45,662.64 and 10,713.78

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Solution

The fourth proportional to 30,439.32, 45,662.64 and 10,713.78 is: 16,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439.32 : 45,662.64 = 10,713.78 : x
  2. Step 2: Convert to fraction form
    30,439.32/45,662.64 = 10,713.78/x
  3. Step 3: Cross multiply
    30,439.32x = 45,662.64 × 10,713.78
  4. Step 4: Simplify right side
    30,439.32x = 489,219,479.18
  5. Step 5: Solve for x
    x = 489,219,479.18/30,439.32
  6. Step 6: Final answer
    x = 16,071.96

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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.