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Finding the Fourth Proportional to 65,297.75, 97,946.61 and 43,105.93

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Solution

The fourth proportional to 65,297.75, 97,946.61 and 43,105.93 is: 64,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,297.75 : 97,946.61 = 43,105.93 : x
  2. Step 2: Convert to fraction form
    65,297.75/97,946.61 = 43,105.93/x
  3. Step 3: Cross multiply
    65,297.75x = 97,946.61 × 43,105.93
  4. Step 4: Simplify right side
    65,297.75x = 4,222,079,714.40
  5. Step 5: Solve for x
    x = 4,222,079,714.40/65,297.75
  6. Step 6: Final answer
    x = 64,658.89

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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.