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Finding the Fourth Proportional to 32,698.56, 49,004.64 and 11,902.08

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Solution

The fourth proportional to 32,698.56, 49,004.64 and 11,902.08 is: 17,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,698.56 : 49,004.64 = 11,902.08 : x
  2. Step 2: Convert to fraction form
    32,698.56/49,004.64 = 11,902.08/x
  3. Step 3: Cross multiply
    32,698.56x = 49,004.64 × 11,902.08
  4. Step 4: Simplify right side
    32,698.56x = 583,257,145.65
  5. Step 5: Solve for x
    x = 583,257,145.65/32,698.56
  6. Step 6: Final answer
    x = 17,837.40

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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.