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Finding the Fourth Proportional to 37,684.38, 52,004.64 and 23,545.42

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Solution

The fourth proportional to 37,684.38, 52,004.64 and 23,545.42 is: 32,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,684.38 : 52,004.64 = 23,545.42 : x
  2. Step 2: Convert to fraction form
    37,684.38/52,004.64 = 23,545.42/x
  3. Step 3: Cross multiply
    37,684.38x = 52,004.64 × 23,545.42
  4. Step 4: Simplify right side
    37,684.38x = 1,224,471,090.75
  5. Step 5: Solve for x
    x = 1,224,471,090.75/37,684.38
  6. Step 6: Final answer
    x = 32,492.80

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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.