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Finding the Fourth Proportional to 64,282.96, 88,705.56 and 35,984.80

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Solution

The fourth proportional to 64,282.96, 88,705.56 and 35,984.80 is: 49,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,282.96 : 88,705.56 = 35,984.80 : x
  2. Step 2: Convert to fraction form
    64,282.96/88,705.56 = 35,984.80/x
  3. Step 3: Cross multiply
    64,282.96x = 88,705.56 × 35,984.80
  4. Step 4: Simplify right side
    64,282.96x = 3,192,051,835.49
  5. Step 5: Solve for x
    x = 3,192,051,835.49/64,282.96
  6. Step 6: Final answer
    x = 49,656.27

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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.