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Finding the Fourth Proportional to 30,277, 45,415.70 and 10,555.94

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Solution

The fourth proportional to 30,277, 45,415.70 and 10,555.94 is: 15,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277 : 45,415.70 = 10,555.94 : x
  2. Step 2: Convert to fraction form
    30,277/45,415.70 = 10,555.94/x
  3. Step 3: Cross multiply
    30,277x = 45,415.70 × 10,555.94
  4. Step 4: Simplify right side
    30,277x = 479,405,404.26
  5. Step 5: Solve for x
    x = 479,405,404.26/30,277
  6. Step 6: Final answer
    x = 15,833.98

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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.