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Finding the Fourth Proportional to 64,982.81, 97,252.43 and 54,464.70

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Solution

The fourth proportional to 64,982.81, 97,252.43 and 54,464.70 is: 81,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,982.81 : 97,252.43 = 54,464.70 : x
  2. Step 2: Convert to fraction form
    64,982.81/97,252.43 = 54,464.70/x
  3. Step 3: Cross multiply
    64,982.81x = 97,252.43 × 54,464.70
  4. Step 4: Simplify right side
    64,982.81x = 5,296,824,151.90
  5. Step 5: Solve for x
    x = 5,296,824,151.90/64,982.81
  6. Step 6: Final answer
    x = 81,511.17

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Why These Related Problems?

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