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Finding the Fourth Proportional to 32,003.64, 48,028.32 and 14,239.08

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Solution

The fourth proportional to 32,003.64, 48,028.32 and 14,239.08 is: 21,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.64 : 48,028.32 = 14,239.08 : x
  2. Step 2: Convert to fraction form
    32,003.64/48,028.32 = 14,239.08/x
  3. Step 3: Cross multiply
    32,003.64x = 48,028.32 × 14,239.08
  4. Step 4: Simplify right side
    32,003.64x = 683,879,090.75
  5. Step 5: Solve for x
    x = 683,879,090.75/32,003.64
  6. Step 6: Final answer
    x = 21,368.79

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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.