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Finding the Fourth Proportional to 64,384.90, 96,570.87 and 17,644.66

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Solution

The fourth proportional to 64,384.90, 96,570.87 and 17,644.66 is: 26,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,384.90 : 96,570.87 = 17,644.66 : x
  2. Step 2: Convert to fraction form
    64,384.90/96,570.87 = 17,644.66/x
  3. Step 3: Cross multiply
    64,384.90x = 96,570.87 × 17,644.66
  4. Step 4: Simplify right side
    64,384.90x = 1,703,960,167.05
  5. Step 5: Solve for x
    x = 1,703,960,167.05/64,384.90
  6. Step 6: Final answer
    x = 26,465.21

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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.