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Finding the Fourth Proportional to 32,449.60, 48,670.80 and 9,078.40

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Solution

The fourth proportional to 32,449.60, 48,670.80 and 9,078.40 is: 13,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.60 : 48,670.80 = 9,078.40 : x
  2. Step 2: Convert to fraction form
    32,449.60/48,670.80 = 9,078.40/x
  3. Step 3: Cross multiply
    32,449.60x = 48,670.80 × 9,078.40
  4. Step 4: Simplify right side
    32,449.60x = 441,852,990.72
  5. Step 5: Solve for x
    x = 441,852,990.72/32,449.60
  6. Step 6: Final answer
    x = 13,616.59

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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.