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Finding the Fourth Proportional to 30,119.38, 45,181.59 and 10,398.10

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Solution

The fourth proportional to 30,119.38, 45,181.59 and 10,398.10 is: 15,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,119.38 : 45,181.59 = 10,398.10 : x
  2. Step 2: Convert to fraction form
    30,119.38/45,181.59 = 10,398.10/x
  3. Step 3: Cross multiply
    30,119.38x = 45,181.59 × 10,398.10
  4. Step 4: Simplify right side
    30,119.38x = 469,802,690.98
  5. Step 5: Solve for x
    x = 469,802,690.98/30,119.38
  6. Step 6: Final answer
    x = 15,598.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.