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Finding the Fourth Proportional to 32,203.82, 48,303.38 and 8,828.42

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Solution

The fourth proportional to 32,203.82, 48,303.38 and 8,828.42 is: 13,241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.82 : 48,303.38 = 8,828.42 : x
  2. Step 2: Convert to fraction form
    32,203.82/48,303.38 = 8,828.42/x
  3. Step 3: Cross multiply
    32,203.82x = 48,303.38 × 8,828.42
  4. Step 4: Simplify right side
    32,203.82x = 426,442,526.06
  5. Step 5: Solve for x
    x = 426,442,526.06/32,203.82
  6. Step 6: Final answer
    x = 13,241.99

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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.