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Finding the Fourth Proportional to 30,471.42, 45,702.50 and 11,760.33

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Solution

The fourth proportional to 30,471.42, 45,702.50 and 11,760.33 is: 17,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.42 : 45,702.50 = 11,760.33 : x
  2. Step 2: Convert to fraction form
    30,471.42/45,702.50 = 11,760.33/x
  3. Step 3: Cross multiply
    30,471.42x = 45,702.50 × 11,760.33
  4. Step 4: Simplify right side
    30,471.42x = 537,476,423.02
  5. Step 5: Solve for x
    x = 537,476,423.02/30,471.42
  6. Step 6: Final answer
    x = 17,638.71

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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.