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Finding the Fourth Proportional to 32,763.24, 49,116.24 and 11,700

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Solution

The fourth proportional to 32,763.24, 49,116.24 and 11,700 is: 17,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,763.24 : 49,116.24 = 11,700 : x
  2. Step 2: Convert to fraction form
    32,763.24/49,116.24 = 11,700/x
  3. Step 3: Cross multiply
    32,763.24x = 49,116.24 × 11,700
  4. Step 4: Simplify right side
    32,763.24x = 574,660,008
  5. Step 5: Solve for x
    x = 574,660,008/32,763.24
  6. Step 6: Final answer
    x = 17,539.78

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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.