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Finding the Fourth Proportional to 32,748.50, 45,089.31 and 29,755.38

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Solution

The fourth proportional to 32,748.50, 45,089.31 and 29,755.38 is: 40,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,748.50 : 45,089.31 = 29,755.38 : x
  2. Step 2: Convert to fraction form
    32,748.50/45,089.31 = 29,755.38/x
  3. Step 3: Cross multiply
    32,748.50x = 45,089.31 × 29,755.38
  4. Step 4: Simplify right side
    32,748.50x = 1,341,649,552.99
  5. Step 5: Solve for x
    x = 1,341,649,552.99/32,748.50
  6. Step 6: Final answer
    x = 40,968.27

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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.