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Finding the Fourth Proportional to 30,623.65, 45,935.69 and 8,438.23

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Solution

The fourth proportional to 30,623.65, 45,935.69 and 8,438.23 is: 12,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,623.65 : 45,935.69 = 8,438.23 : x
  2. Step 2: Convert to fraction form
    30,623.65/45,935.69 = 8,438.23/x
  3. Step 3: Cross multiply
    30,623.65x = 45,935.69 × 8,438.23
  4. Step 4: Simplify right side
    30,623.65x = 387,615,917.43
  5. Step 5: Solve for x
    x = 387,615,917.43/30,623.65
  6. Step 6: Final answer
    x = 12,657.40

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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.