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Finding the Fourth Proportional to 32,396.48, 48,594.72 and 9,022.88

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Solution

The fourth proportional to 32,396.48, 48,594.72 and 9,022.88 is: 13,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,396.48 : 48,594.72 = 9,022.88 : x
  2. Step 2: Convert to fraction form
    32,396.48/48,594.72 = 9,022.88/x
  3. Step 3: Cross multiply
    32,396.48x = 48,594.72 × 9,022.88
  4. Step 4: Simplify right side
    32,396.48x = 438,464,327.19
  5. Step 5: Solve for x
    x = 438,464,327.19/32,396.48
  6. Step 6: Final answer
    x = 13,534.32

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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.