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Finding the Fourth Proportional to 64,835.36, 97,253.04 and 33,605

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Solution

The fourth proportional to 64,835.36, 97,253.04 and 33,605 is: 50,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,835.36 : 97,253.04 = 33,605 : x
  2. Step 2: Convert to fraction form
    64,835.36/97,253.04 = 33,605/x
  3. Step 3: Cross multiply
    64,835.36x = 97,253.04 × 33,605
  4. Step 4: Simplify right side
    64,835.36x = 3,268,188,409.20
  5. Step 5: Solve for x
    x = 3,268,188,409.20/64,835.36
  6. Step 6: Final answer
    x = 50,407.50

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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.