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Finding the Fourth Proportional to 30,004.74, 45,002.49 and 10,278.78

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Solution

The fourth proportional to 30,004.74, 45,002.49 and 10,278.78 is: 15,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,004.74 : 45,002.49 = 10,278.78 : x
  2. Step 2: Convert to fraction form
    30,004.74/45,002.49 = 10,278.78/x
  3. Step 3: Cross multiply
    30,004.74x = 45,002.49 × 10,278.78
  4. Step 4: Simplify right side
    30,004.74x = 462,570,694.16
  5. Step 5: Solve for x
    x = 462,570,694.16/30,004.74
  6. Step 6: Final answer
    x = 15,416.59

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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.