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Finding the Fourth Proportional to 74,034, 102,167.33 and 40,500

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Solution

The fourth proportional to 74,034, 102,167.33 and 40,500 is: 55,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034 : 102,167.33 = 40,500 : x
  2. Step 2: Convert to fraction form
    74,034/102,167.33 = 40,500/x
  3. Step 3: Cross multiply
    74,034x = 102,167.33 × 40,500
  4. Step 4: Simplify right side
    74,034x = 4,137,776,662.50
  5. Step 5: Solve for x
    x = 4,137,776,662.50/74,034
  6. Step 6: Final answer
    x = 55,890.22

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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.