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Finding the Fourth Proportional to 32,172.93, 48,206.02 and 22,766.31

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Solution

The fourth proportional to 32,172.93, 48,206.02 and 22,766.31 is: 34,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.93 : 48,206.02 = 22,766.31 : x
  2. Step 2: Convert to fraction form
    32,172.93/48,206.02 = 22,766.31/x
  3. Step 3: Cross multiply
    32,172.93x = 48,206.02 × 22,766.31
  4. Step 4: Simplify right side
    32,172.93x = 1,097,473,195.19
  5. Step 5: Solve for x
    x = 1,097,473,195.19/32,172.93
  6. Step 6: Final answer
    x = 34,111.70

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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.