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Finding the Fourth Proportional to 32,967.90, 49,393.89 and 27,737.37

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Solution

The fourth proportional to 32,967.90, 49,393.89 and 27,737.37 is: 41,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.90 : 49,393.89 = 27,737.37 : x
  2. Step 2: Convert to fraction form
    32,967.90/49,393.89 = 27,737.37/x
  3. Step 3: Cross multiply
    32,967.90x = 49,393.89 × 27,737.37
  4. Step 4: Simplify right side
    32,967.90x = 1,370,056,602.67
  5. Step 5: Solve for x
    x = 1,370,056,602.67/32,967.90
  6. Step 6: Final answer
    x = 41,557.29

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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.