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Finding the Fourth Proportional to 32,711.50, 49,068.06 and 11,935

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Solution

The fourth proportional to 32,711.50, 49,068.06 and 11,935 is: 17,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,711.50 : 49,068.06 = 11,935 : x
  2. Step 2: Convert to fraction form
    32,711.50/49,068.06 = 11,935/x
  3. Step 3: Cross multiply
    32,711.50x = 49,068.06 × 11,935
  4. Step 4: Simplify right side
    32,711.50x = 585,627,296.10
  5. Step 5: Solve for x
    x = 585,627,296.10/32,711.50
  6. Step 6: Final answer
    x = 17,902.80

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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.