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Finding the Fourth Proportional to 32,822.98, 49,241.79 and 9,447.59

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Solution

The fourth proportional to 32,822.98, 49,241.79 and 9,447.59 is: 14,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822.98 : 49,241.79 = 9,447.59 : x
  2. Step 2: Convert to fraction form
    32,822.98/49,241.79 = 9,447.59/x
  3. Step 3: Cross multiply
    32,822.98x = 49,241.79 × 9,447.59
  4. Step 4: Simplify right side
    32,822.98x = 465,216,365.89
  5. Step 5: Solve for x
    x = 465,216,365.89/32,822.98
  6. Step 6: Final answer
    x = 14,173.50

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1.5x scale

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.