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Finding the Fourth Proportional to 32,297.65, 48,441.00 and 8,924.15

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Solution

The fourth proportional to 32,297.65, 48,441.00 and 8,924.15 is: 13,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,297.65 : 48,441.00 = 8,924.15 : x
  2. Step 2: Convert to fraction form
    32,297.65/48,441.00 = 8,924.15/x
  3. Step 3: Cross multiply
    32,297.65x = 48,441.00 × 8,924.15
  4. Step 4: Simplify right side
    32,297.65x = 432,294,904.72
  5. Step 5: Solve for x
    x = 432,294,904.72/32,297.65
  6. Step 6: Final answer
    x = 13,384.72

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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.