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Finding the Fourth Proportional to 32,122.84, 48,187.86 and 8,749.48

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Solution

The fourth proportional to 32,122.84, 48,187.86 and 8,749.48 is: 13,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122.84 : 48,187.86 = 8,749.48 : x
  2. Step 2: Convert to fraction form
    32,122.84/48,187.86 = 8,749.48/x
  3. Step 3: Cross multiply
    32,122.84x = 48,187.86 × 8,749.48
  4. Step 4: Simplify right side
    32,122.84x = 421,618,717.31
  5. Step 5: Solve for x
    x = 421,618,717.31/32,122.84
  6. Step 6: Final answer
    x = 13,125.20

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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.