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Finding the Fourth Proportional to 64,117, 96,164.34 and 17,358.94

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Solution

The fourth proportional to 64,117, 96,164.34 and 17,358.94 is: 26,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,117 : 96,164.34 = 17,358.94 : x
  2. Step 2: Convert to fraction form
    64,117/96,164.34 = 17,358.94/x
  3. Step 3: Cross multiply
    64,117x = 96,164.34 × 17,358.94
  4. Step 4: Simplify right side
    64,117x = 1,669,311,008.20
  5. Step 5: Solve for x
    x = 1,669,311,008.20/64,117
  6. Step 6: Final answer
    x = 26,035.39

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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.