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Finding the Fourth Proportional to 65,024.28, 89,733.46 and 35,216.28

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Solution

The fourth proportional to 65,024.28, 89,733.46 and 35,216.28 is: 48,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,024.28 : 89,733.46 = 35,216.28 : x
  2. Step 2: Convert to fraction form
    65,024.28/89,733.46 = 35,216.28/x
  3. Step 3: Cross multiply
    65,024.28x = 89,733.46 × 35,216.28
  4. Step 4: Simplify right side
    65,024.28x = 3,160,078,652.73
  5. Step 5: Solve for x
    x = 3,160,078,652.73/65,024.28
  6. Step 6: Final answer
    x = 48,598.44

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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.