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Finding the Fourth Proportional to 32,796.74, 49,211.18 and 14,071.24

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Solution

The fourth proportional to 32,796.74, 49,211.18 and 14,071.24 is: 21,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,796.74 : 49,211.18 = 14,071.24 : x
  2. Step 2: Convert to fraction form
    32,796.74/49,211.18 = 14,071.24/x
  3. Step 3: Cross multiply
    32,796.74x = 49,211.18 × 14,071.24
  4. Step 4: Simplify right side
    32,796.74x = 692,462,324.46
  5. Step 5: Solve for x
    x = 692,462,324.46/32,796.74
  6. Step 6: Final answer
    x = 21,113.75

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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.