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Finding the Fourth Proportional to 30,431.01, 45,650.36 and 10,444.40

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Solution

The fourth proportional to 30,431.01, 45,650.36 and 10,444.40 is: 15,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.01 : 45,650.36 = 10,444.40 : x
  2. Step 2: Convert to fraction form
    30,431.01/45,650.36 = 10,444.40/x
  3. Step 3: Cross multiply
    30,431.01x = 45,650.36 × 10,444.40
  4. Step 4: Simplify right side
    30,431.01x = 476,790,339.51
  5. Step 5: Solve for x
    x = 476,790,339.51/30,431.01
  6. Step 6: Final answer
    x = 15,667.91

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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.