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Finding the Fourth Proportional to 30,007.13, 45,016.16 and 10,287.68

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Solution

The fourth proportional to 30,007.13, 45,016.16 and 10,287.68 is: 15,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007.13 : 45,016.16 = 10,287.68 : x
  2. Step 2: Convert to fraction form
    30,007.13/45,016.16 = 10,287.68/x
  3. Step 3: Cross multiply
    30,007.13x = 45,016.16 × 10,287.68
  4. Step 4: Simplify right side
    30,007.13x = 463,111,874.63
  5. Step 5: Solve for x
    x = 463,111,874.63/30,007.13
  6. Step 6: Final answer
    x = 15,433.39

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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.