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Finding the Fourth Proportional to 34,683.71, 47,863.64 and 18,768.16

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Solution

The fourth proportional to 34,683.71, 47,863.64 and 18,768.16 is: 25,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,683.71 : 47,863.64 = 18,768.16 : x
  2. Step 2: Convert to fraction form
    34,683.71/47,863.64 = 18,768.16/x
  3. Step 3: Cross multiply
    34,683.71x = 47,863.64 × 18,768.16
  4. Step 4: Simplify right side
    34,683.71x = 898,312,214.38
  5. Step 5: Solve for x
    x = 898,312,214.38/34,683.71
  6. Step 6: Final answer
    x = 25,900.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.