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Finding the Fourth Proportional to 32,898.70, 49,320.39 and 13,166.50

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Solution

The fourth proportional to 32,898.70, 49,320.39 and 13,166.50 is: 19,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898.70 : 49,320.39 = 13,166.50 : x
  2. Step 2: Convert to fraction form
    32,898.70/49,320.39 = 13,166.50/x
  3. Step 3: Cross multiply
    32,898.70x = 49,320.39 × 13,166.50
  4. Step 4: Simplify right side
    32,898.70x = 649,376,914.94
  5. Step 5: Solve for x
    x = 649,376,914.94/32,898.70
  6. Step 6: Final answer
    x = 19,738.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.