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Finding the Fourth Proportional to 65,466.83, 98,243.32 and 35,905.43

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Solution

The fourth proportional to 65,466.83, 98,243.32 and 35,905.43 is: 53,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,466.83 : 98,243.32 = 35,905.43 : x
  2. Step 2: Convert to fraction form
    65,466.83/98,243.32 = 35,905.43/x
  3. Step 3: Cross multiply
    65,466.83x = 98,243.32 × 35,905.43
  4. Step 4: Simplify right side
    65,466.83x = 3,527,468,805.07
  5. Step 5: Solve for x
    x = 3,527,468,805.07/65,466.83
  6. Step 6: Final answer
    x = 53,881.77

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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.