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Finding the Fourth Proportional to 48,398.96, 72,584.64 and 20,325.34

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Solution

The fourth proportional to 48,398.96, 72,584.64 and 20,325.34 is: 30,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,398.96 : 72,584.64 = 20,325.34 : x
  2. Step 2: Convert to fraction form
    48,398.96/72,584.64 = 20,325.34/x
  3. Step 3: Cross multiply
    48,398.96x = 72,584.64 × 20,325.34
  4. Step 4: Simplify right side
    48,398.96x = 1,475,307,486.78
  5. Step 5: Solve for x
    x = 1,475,307,486.78/48,398.96
  6. Step 6: Final answer
    x = 30,482.21

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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.