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Finding the Fourth Proportional to 30,311.01, 41,830.36 and 17,564.63

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Solution

The fourth proportional to 30,311.01, 41,830.36 and 17,564.63 is: 24,239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.01 : 41,830.36 = 17,564.63 : x
  2. Step 2: Convert to fraction form
    30,311.01/41,830.36 = 17,564.63/x
  3. Step 3: Cross multiply
    30,311.01x = 41,830.36 × 17,564.63
  4. Step 4: Simplify right side
    30,311.01x = 734,734,543.10
  5. Step 5: Solve for x
    x = 734,734,543.10/30,311.01
  6. Step 6: Final answer
    x = 24,239.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.