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Finding the Fourth Proportional to 32,952.25, 49,427.96 and 7,992.50

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Solution

The fourth proportional to 32,952.25, 49,427.96 and 7,992.50 is: 11,988.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952.25 : 49,427.96 = 7,992.50 : x
  2. Step 2: Convert to fraction form
    32,952.25/49,427.96 = 7,992.50/x
  3. Step 3: Cross multiply
    32,952.25x = 49,427.96 × 7,992.50
  4. Step 4: Simplify right side
    32,952.25x = 395,052,970.30
  5. Step 5: Solve for x
    x = 395,052,970.30/32,952.25
  6. Step 6: Final answer
    x = 11,988.65

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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.