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Finding the Fourth Proportional to 32,315.84, 48,474.72 and 8,944

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Solution

The fourth proportional to 32,315.84, 48,474.72 and 8,944 is: 13,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,315.84 : 48,474.72 = 8,944 : x
  2. Step 2: Convert to fraction form
    32,315.84/48,474.72 = 8,944/x
  3. Step 3: Cross multiply
    32,315.84x = 48,474.72 × 8,944
  4. Step 4: Simplify right side
    32,315.84x = 433,557,895.68
  5. Step 5: Solve for x
    x = 433,557,895.68/32,315.84
  6. Step 6: Final answer
    x = 13,416.27

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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.