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Finding the Fourth Proportional to 32,015.63, 48,016.27 and 9,829.20

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Solution

The fourth proportional to 32,015.63, 48,016.27 and 9,829.20 is: 14,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.63 : 48,016.27 = 9,829.20 : x
  2. Step 2: Convert to fraction form
    32,015.63/48,016.27 = 9,829.20/x
  3. Step 3: Cross multiply
    32,015.63x = 48,016.27 × 9,829.20
  4. Step 4: Simplify right side
    32,015.63x = 471,961,415.70
  5. Step 5: Solve for x
    x = 471,961,415.70/32,015.63
  6. Step 6: Final answer
    x = 14,741.59

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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.