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Finding the Fourth Proportional to 56,964, 85,447.34 and 19,523.77

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Solution

The fourth proportional to 56,964, 85,447.34 and 19,523.77 is: 29,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,964 : 85,447.34 = 19,523.77 : x
  2. Step 2: Convert to fraction form
    56,964/85,447.34 = 19,523.77/x
  3. Step 3: Cross multiply
    56,964x = 85,447.34 × 19,523.77
  4. Step 4: Simplify right side
    56,964x = 1,668,254,213.27
  5. Step 5: Solve for x
    x = 1,668,254,213.27/56,964
  6. Step 6: Final answer
    x = 29,286.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.