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Finding the Fourth Proportional to 64,682.83, 97,017.43 and 17,302.71

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Solution

The fourth proportional to 64,682.83, 97,017.43 and 17,302.71 is: 25,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,682.83 : 97,017.43 = 17,302.71 : x
  2. Step 2: Convert to fraction form
    64,682.83/97,017.43 = 17,302.71/x
  3. Step 3: Cross multiply
    64,682.83x = 97,017.43 × 17,302.71
  4. Step 4: Simplify right side
    64,682.83x = 1,678,664,456.24
  5. Step 5: Solve for x
    x = 1,678,664,456.24/64,682.83
  6. Step 6: Final answer
    x = 25,952.24

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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.