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Finding the Fourth Proportional to 64,902, 89,564.76 and 35,094

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Solution

The fourth proportional to 64,902, 89,564.76 and 35,094 is: 48,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,902 : 89,564.76 = 35,094 : x
  2. Step 2: Convert to fraction form
    64,902/89,564.76 = 35,094/x
  3. Step 3: Cross multiply
    64,902x = 89,564.76 × 35,094
  4. Step 4: Simplify right side
    64,902x = 3,143,185,687.44
  5. Step 5: Solve for x
    x = 3,143,185,687.44/64,902
  6. Step 6: Final answer
    x = 48,429.72

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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.