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Finding the Fourth Proportional to 30,181.54, 45,272.31 and 10,460.09

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Solution

The fourth proportional to 30,181.54, 45,272.31 and 10,460.09 is: 15,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,181.54 : 45,272.31 = 10,460.09 : x
  2. Step 2: Convert to fraction form
    30,181.54/45,272.31 = 10,460.09/x
  3. Step 3: Cross multiply
    30,181.54x = 45,272.31 × 10,460.09
  4. Step 4: Simplify right side
    30,181.54x = 473,552,437.11
  5. Step 5: Solve for x
    x = 473,552,437.11/30,181.54
  6. Step 6: Final answer
    x = 15,690.14

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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.