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Finding the Fourth Proportional to 65,903.98, 98,835.51 and 23,778.59

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Solution

The fourth proportional to 65,903.98, 98,835.51 and 23,778.59 is: 35,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.98 : 98,835.51 = 23,778.59 : x
  2. Step 2: Convert to fraction form
    65,903.98/98,835.51 = 23,778.59/x
  3. Step 3: Cross multiply
    65,903.98x = 98,835.51 × 23,778.59
  4. Step 4: Simplify right side
    65,903.98x = 2,350,169,035.36
  5. Step 5: Solve for x
    x = 2,350,169,035.36/65,903.98
  6. Step 6: Final answer
    x = 35,660.50

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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.