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Finding the Fourth Proportional to 38,465.42, 57,706.47 and 11,811.50

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Solution

The fourth proportional to 38,465.42, 57,706.47 and 11,811.50 is: 17,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,465.42 : 57,706.47 = 11,811.50 : x
  2. Step 2: Convert to fraction form
    38,465.42/57,706.47 = 11,811.50/x
  3. Step 3: Cross multiply
    38,465.42x = 57,706.47 × 11,811.50
  4. Step 4: Simplify right side
    38,465.42x = 681,599,970.41
  5. Step 5: Solve for x
    x = 681,599,970.41/38,465.42
  6. Step 6: Final answer
    x = 17,719.81

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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.