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Finding the Fourth Proportional to 32,706.98, 49,060.65 and 11,647.84

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Solution

The fourth proportional to 32,706.98, 49,060.65 and 11,647.84 is: 17,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.98 : 49,060.65 = 11,647.84 : x
  2. Step 2: Convert to fraction form
    32,706.98/49,060.65 = 11,647.84/x
  3. Step 3: Cross multiply
    32,706.98x = 49,060.65 × 11,647.84
  4. Step 4: Simplify right side
    32,706.98x = 571,450,478.84
  5. Step 5: Solve for x
    x = 571,450,478.84/32,706.98
  6. Step 6: Final answer
    x = 17,471.82

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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.