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Finding the Fourth Proportional to 32,003.95, 48,015.20 and 9,820.60

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Solution

The fourth proportional to 32,003.95, 48,015.20 and 9,820.60 is: 14,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.95 : 48,015.20 = 9,820.60 : x
  2. Step 2: Convert to fraction form
    32,003.95/48,015.20 = 9,820.60/x
  3. Step 3: Cross multiply
    32,003.95x = 48,015.20 × 9,820.60
  4. Step 4: Simplify right side
    32,003.95x = 471,538,073.12
  5. Step 5: Solve for x
    x = 471,538,073.12/32,003.95
  6. Step 6: Final answer
    x = 14,733.75

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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.