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Finding the Fourth Proportional to 32,683.68, 49,032.90 and 11,907

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Solution

The fourth proportional to 32,683.68, 49,032.90 and 11,907 is: 17,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683.68 : 49,032.90 = 11,907 : x
  2. Step 2: Convert to fraction form
    32,683.68/49,032.90 = 11,907/x
  3. Step 3: Cross multiply
    32,683.68x = 49,032.90 × 11,907
  4. Step 4: Simplify right side
    32,683.68x = 583,834,740.30
  5. Step 5: Solve for x
    x = 583,834,740.30/32,683.68
  6. Step 6: Final answer
    x = 17,863.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.