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Finding the Fourth Proportional to 65,051.68, 89,771.34 and 35,243.68

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Solution

The fourth proportional to 65,051.68, 89,771.34 and 35,243.68 is: 48,636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,051.68 : 89,771.34 = 35,243.68 : x
  2. Step 2: Convert to fraction form
    65,051.68/89,771.34 = 35,243.68/x
  3. Step 3: Cross multiply
    65,051.68x = 89,771.34 × 35,243.68
  4. Step 4: Simplify right side
    65,051.68x = 3,163,872,380.13
  5. Step 5: Solve for x
    x = 3,163,872,380.13/65,051.68
  6. Step 6: Final answer
    x = 48,636.29

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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.