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Finding the Fourth Proportional to 32,958.76, 49,437.72 and 7,999

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Solution

The fourth proportional to 32,958.76, 49,437.72 and 7,999 is: 11,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,958.76 : 49,437.72 = 7,999 : x
  2. Step 2: Convert to fraction form
    32,958.76/49,437.72 = 7,999/x
  3. Step 3: Cross multiply
    32,958.76x = 49,437.72 × 7,999
  4. Step 4: Simplify right side
    32,958.76x = 395,452,322.28
  5. Step 5: Solve for x
    x = 395,452,322.28/32,958.76
  6. Step 6: Final answer
    x = 11,998.40

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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.