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Finding the Fourth Proportional to 32,283.54, 48,427.72 and 8,909.76

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Solution

The fourth proportional to 32,283.54, 48,427.72 and 8,909.76 is: 13,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,283.54 : 48,427.72 = 8,909.76 : x
  2. Step 2: Convert to fraction form
    32,283.54/48,427.72 = 8,909.76/x
  3. Step 3: Cross multiply
    32,283.54x = 48,427.72 × 8,909.76
  4. Step 4: Simplify right side
    32,283.54x = 431,479,362.55
  5. Step 5: Solve for x
    x = 431,479,362.55/32,283.54
  6. Step 6: Final answer
    x = 13,365.31

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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.