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Finding the Fourth Proportional to 32,922.72, 49,375.26 and 9,228.94

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Solution

The fourth proportional to 32,922.72, 49,375.26 and 9,228.94 is: 13,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922.72 : 49,375.26 = 9,228.94 : x
  2. Step 2: Convert to fraction form
    32,922.72/49,375.26 = 9,228.94/x
  3. Step 3: Cross multiply
    32,922.72x = 49,375.26 × 9,228.94
  4. Step 4: Simplify right side
    32,922.72x = 455,681,312.02
  5. Step 5: Solve for x
    x = 455,681,312.02/32,922.72
  6. Step 6: Final answer
    x = 13,840.94

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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.