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Finding the Fourth Proportional to 52,519, 72,469.74 and 32,111.32

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Solution

The fourth proportional to 52,519, 72,469.74 and 32,111.32 is: 44,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,519 : 72,469.74 = 32,111.32 : x
  2. Step 2: Convert to fraction form
    52,519/72,469.74 = 32,111.32/x
  3. Step 3: Cross multiply
    52,519x = 72,469.74 × 32,111.32
  4. Step 4: Simplify right side
    52,519x = 2,327,099,011.46
  5. Step 5: Solve for x
    x = 2,327,099,011.46/52,519
  6. Step 6: Final answer
    x = 44,309.66

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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.