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Finding the Fourth Proportional to 32,523.36, 48,784.80 and 9,149.64

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Solution

The fourth proportional to 32,523.36, 48,784.80 and 9,149.64 is: 13,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523.36 : 48,784.80 = 9,149.64 : x
  2. Step 2: Convert to fraction form
    32,523.36/48,784.80 = 9,149.64/x
  3. Step 3: Cross multiply
    32,523.36x = 48,784.80 × 9,149.64
  4. Step 4: Simplify right side
    32,523.36x = 446,363,357.47
  5. Step 5: Solve for x
    x = 446,363,357.47/32,523.36
  6. Step 6: Final answer
    x = 13,724.39

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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.