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Finding the Fourth Proportional to 32,445.64, 48,724.02 and 20,039.08

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Solution

The fourth proportional to 32,445.64, 48,724.02 and 20,039.08 is: 30,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445.64 : 48,724.02 = 20,039.08 : x
  2. Step 2: Convert to fraction form
    32,445.64/48,724.02 = 20,039.08/x
  3. Step 3: Cross multiply
    32,445.64x = 48,724.02 × 20,039.08
  4. Step 4: Simplify right side
    32,445.64x = 976,384,534.70
  5. Step 5: Solve for x
    x = 976,384,534.70/32,445.64
  6. Step 6: Final answer
    x = 30,092.93

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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.