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Finding the Fourth Proportional to 32,740.41, 49,113.78 and 13,014.54

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Solution

The fourth proportional to 32,740.41, 49,113.78 and 13,014.54 is: 19,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,740.41 : 49,113.78 = 13,014.54 : x
  2. Step 2: Convert to fraction form
    32,740.41/49,113.78 = 13,014.54/x
  3. Step 3: Cross multiply
    32,740.41x = 49,113.78 × 13,014.54
  4. Step 4: Simplify right side
    32,740.41x = 639,193,254.36
  5. Step 5: Solve for x
    x = 639,193,254.36/32,740.41
  6. Step 6: Final answer
    x = 19,523.07

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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.