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Finding the Fourth Proportional to 32,683.93, 49,020 and 8,668.39

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Solution

The fourth proportional to 32,683.93, 49,020 and 8,668.39 is: 13,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683.93 : 49,020 = 8,668.39 : x
  2. Step 2: Convert to fraction form
    32,683.93/49,020 = 8,668.39/x
  3. Step 3: Cross multiply
    32,683.93x = 49,020 × 8,668.39
  4. Step 4: Simplify right side
    32,683.93x = 424,924,477.80
  5. Step 5: Solve for x
    x = 424,924,477.80/32,683.93
  6. Step 6: Final answer
    x = 13,001.02

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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.