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Finding the Fourth Proportional to 32,512, 48,768.02 and 7,888

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Solution

The fourth proportional to 32,512, 48,768.02 and 7,888 is: 11,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,512 : 48,768.02 = 7,888 : x
  2. Step 2: Convert to fraction form
    32,512/48,768.02 = 7,888/x
  3. Step 3: Cross multiply
    32,512x = 48,768.02 × 7,888
  4. Step 4: Simplify right side
    32,512x = 384,682,141.76
  5. Step 5: Solve for x
    x = 384,682,141.76/32,512
  6. Step 6: Final answer
    x = 11,832.00

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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.