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Finding the Fourth Proportional to 65,873.75, 90,905.54 and 35,658.81

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Solution

The fourth proportional to 65,873.75, 90,905.54 and 35,658.81 is: 49,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,873.75 : 90,905.54 = 35,658.81 : x
  2. Step 2: Convert to fraction form
    65,873.75/90,905.54 = 35,658.81/x
  3. Step 3: Cross multiply
    65,873.75x = 90,905.54 × 35,658.81
  4. Step 4: Simplify right side
    65,873.75x = 3,241,583,200.51
  5. Step 5: Solve for x
    x = 3,241,583,200.51/65,873.75
  6. Step 6: Final answer
    x = 49,209.03

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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.