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Finding the Fourth Proportional to 32,838.62, 49,262.80 and 12,060.50

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Solution

The fourth proportional to 32,838.62, 49,262.80 and 12,060.50 is: 18,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.62 : 49,262.80 = 12,060.50 : x
  2. Step 2: Convert to fraction form
    32,838.62/49,262.80 = 12,060.50/x
  3. Step 3: Cross multiply
    32,838.62x = 49,262.80 × 12,060.50
  4. Step 4: Simplify right side
    32,838.62x = 594,133,999.40
  5. Step 5: Solve for x
    x = 594,133,999.40/32,838.62
  6. Step 6: Final answer
    x = 18,092.54

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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.