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Finding the Fourth Proportional to 64,857.24, 97,288.50 and 29,311.74

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Solution

The fourth proportional to 64,857.24, 97,288.50 and 29,311.74 is: 43,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,857.24 : 97,288.50 = 29,311.74 : x
  2. Step 2: Convert to fraction form
    64,857.24/97,288.50 = 29,311.74/x
  3. Step 3: Cross multiply
    64,857.24x = 97,288.50 × 29,311.74
  4. Step 4: Simplify right side
    64,857.24x = 2,851,695,216.99
  5. Step 5: Solve for x
    x = 2,851,695,216.99/64,857.24
  6. Step 6: Final answer
    x = 43,968.80

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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.