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Finding the Fourth Proportional to 30,538.15, 45,790.62 and 9,472.48

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Solution

The fourth proportional to 30,538.15, 45,790.62 and 9,472.48 is: 14,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.15 : 45,790.62 = 9,472.48 : x
  2. Step 2: Convert to fraction form
    30,538.15/45,790.62 = 9,472.48/x
  3. Step 3: Cross multiply
    30,538.15x = 45,790.62 × 9,472.48
  4. Step 4: Simplify right side
    30,538.15x = 433,750,732.14
  5. Step 5: Solve for x
    x = 433,750,732.14/30,538.15
  6. Step 6: Final answer
    x = 14,203.57

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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.