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Finding the Fourth Proportional to 32,550.50, 48,825.76 and 7,926.50

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Solution

The fourth proportional to 32,550.50, 48,825.76 and 7,926.50 is: 11,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,550.50 : 48,825.76 = 7,926.50 : x
  2. Step 2: Convert to fraction form
    32,550.50/48,825.76 = 7,926.50/x
  3. Step 3: Cross multiply
    32,550.50x = 48,825.76 × 7,926.50
  4. Step 4: Simplify right side
    32,550.50x = 387,017,386.64
  5. Step 5: Solve for x
    x = 387,017,386.64/32,550.50
  6. Step 6: Final answer
    x = 11,889.75

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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.