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Finding the Fourth Proportional to 65,835.27, 90,852.54 and 35,620.50

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Solution

The fourth proportional to 65,835.27, 90,852.54 and 35,620.50 is: 49,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,835.27 : 90,852.54 = 35,620.50 : x
  2. Step 2: Convert to fraction form
    65,835.27/90,852.54 = 35,620.50/x
  3. Step 3: Cross multiply
    65,835.27x = 90,852.54 × 35,620.50
  4. Step 4: Simplify right side
    65,835.27x = 3,236,212,901.07
  5. Step 5: Solve for x
    x = 3,236,212,901.07/65,835.27
  6. Step 6: Final answer
    x = 49,156.22

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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.