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Finding the Fourth Proportional to 32,109.76, 48,160.99 and 8,738.02

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Solution

The fourth proportional to 32,109.76, 48,160.99 and 8,738.02 is: 13,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.76 : 48,160.99 = 8,738.02 : x
  2. Step 2: Convert to fraction form
    32,109.76/48,160.99 = 8,738.02/x
  3. Step 3: Cross multiply
    32,109.76x = 48,160.99 × 8,738.02
  4. Step 4: Simplify right side
    32,109.76x = 420,831,693.84
  5. Step 5: Solve for x
    x = 420,831,693.84/32,109.76
  6. Step 6: Final answer
    x = 13,106.04

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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.