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Finding the Fourth Proportional to 64,647.81, 96,971.85 and 17,900.82

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Solution

The fourth proportional to 64,647.81, 96,971.85 and 17,900.82 is: 26,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,647.81 : 96,971.85 = 17,900.82 : x
  2. Step 2: Convert to fraction form
    64,647.81/96,971.85 = 17,900.82/x
  3. Step 3: Cross multiply
    64,647.81x = 96,971.85 × 17,900.82
  4. Step 4: Simplify right side
    64,647.81x = 1,735,875,631.92
  5. Step 5: Solve for x
    x = 1,735,875,631.92/64,647.81
  6. Step 6: Final answer
    x = 26,851.27

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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.