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Finding the Fourth Proportional to 32,904.56, 49,360.16 and 9,212.08

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Solution

The fourth proportional to 32,904.56, 49,360.16 and 9,212.08 is: 13,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,904.56 : 49,360.16 = 9,212.08 : x
  2. Step 2: Convert to fraction form
    32,904.56/49,360.16 = 9,212.08/x
  3. Step 3: Cross multiply
    32,904.56x = 49,360.16 × 9,212.08
  4. Step 4: Simplify right side
    32,904.56x = 454,709,742.73
  5. Step 5: Solve for x
    x = 454,709,742.73/32,904.56
  6. Step 6: Final answer
    x = 13,819.05

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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.