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Finding the Fourth Proportional to 30,775.56, 42,469.04 and 17,349.60

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Solution

The fourth proportional to 30,775.56, 42,469.04 and 17,349.60 is: 23,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.56 : 42,469.04 = 17,349.60 : x
  2. Step 2: Convert to fraction form
    30,775.56/42,469.04 = 17,349.60/x
  3. Step 3: Cross multiply
    30,775.56x = 42,469.04 × 17,349.60
  4. Step 4: Simplify right side
    30,775.56x = 736,820,899.76
  5. Step 5: Solve for x
    x = 736,820,899.76/30,775.56
  6. Step 6: Final answer
    x = 23,941.75

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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.