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Finding the Fourth Proportional to 32,415.60, 48,623.40 and 30,447.30

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Solution

The fourth proportional to 32,415.60, 48,623.40 and 30,447.30 is: 45,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.60 : 48,623.40 = 30,447.30 : x
  2. Step 2: Convert to fraction form
    32,415.60/48,623.40 = 30,447.30/x
  3. Step 3: Cross multiply
    32,415.60x = 48,623.40 × 30,447.30
  4. Step 4: Simplify right side
    32,415.60x = 1,480,451,246.82
  5. Step 5: Solve for x
    x = 1,480,451,246.82/32,415.60
  6. Step 6: Final answer
    x = 45,670.95

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Similar ratio
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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.