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Finding the Fourth Proportional to 64,693.13, 97,039.69 and 17,946

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Solution

The fourth proportional to 64,693.13, 97,039.69 and 17,946 is: 26,919

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,693.13 : 97,039.69 = 17,946 : x
  2. Step 2: Convert to fraction form
    64,693.13/97,039.69 = 17,946/x
  3. Step 3: Cross multiply
    64,693.13x = 97,039.69 × 17,946
  4. Step 4: Simplify right side
    64,693.13x = 1,741,474,231.88
  5. Step 5: Solve for x
    x = 1,741,474,231.88/64,693.13
  6. Step 6: Final answer
    x = 26,919

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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.