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Finding the Fourth Proportional to 65,141.06, 89,893.07 and 36,461.10

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Solution

The fourth proportional to 65,141.06, 89,893.07 and 36,461.10 is: 50,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,141.06 : 89,893.07 = 36,461.10 : x
  2. Step 2: Convert to fraction form
    65,141.06/89,893.07 = 36,461.10/x
  3. Step 3: Cross multiply
    65,141.06x = 89,893.07 × 36,461.10
  4. Step 4: Simplify right side
    65,141.06x = 3,277,600,214.58
  5. Step 5: Solve for x
    x = 3,277,600,214.58/65,141.06
  6. Step 6: Final answer
    x = 50,315.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.