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Finding the Fourth Proportional to 30,049.58, 45,076.44 and 10,342.02

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Solution

The fourth proportional to 30,049.58, 45,076.44 and 10,342.02 is: 15,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,049.58 : 45,076.44 = 10,342.02 : x
  2. Step 2: Convert to fraction form
    30,049.58/45,076.44 = 10,342.02/x
  3. Step 3: Cross multiply
    30,049.58x = 45,076.44 × 10,342.02
  4. Step 4: Simplify right side
    30,049.58x = 466,181,444.01
  5. Step 5: Solve for x
    x = 466,181,444.01/30,049.58
  6. Step 6: Final answer
    x = 15,513.74

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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.