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Finding the Fourth Proportional to 35,575.20, 49,104 and 24,967.44

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Solution

The fourth proportional to 35,575.20, 49,104 and 24,967.44 is: 34,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,575.20 : 49,104 = 24,967.44 : x
  2. Step 2: Convert to fraction form
    35,575.20/49,104 = 24,967.44/x
  3. Step 3: Cross multiply
    35,575.20x = 49,104 × 24,967.44
  4. Step 4: Simplify right side
    35,575.20x = 1,226,001,173.76
  5. Step 5: Solve for x
    x = 1,226,001,173.76/35,575.20
  6. Step 6: Final answer
    x = 34,462.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.