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Finding the Fourth Proportional to 30,438.18, 45,653.02 and 10,447.36

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Solution

The fourth proportional to 30,438.18, 45,653.02 and 10,447.36 is: 15,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.18 : 45,653.02 = 10,447.36 : x
  2. Step 2: Convert to fraction form
    30,438.18/45,653.02 = 10,447.36/x
  3. Step 3: Cross multiply
    30,438.18x = 45,653.02 × 10,447.36
  4. Step 4: Simplify right side
    30,438.18x = 476,953,394.78
  5. Step 5: Solve for x
    x = 476,953,394.78/30,438.18
  6. Step 6: Final answer
    x = 15,669.58

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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.