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Finding the Fourth Proportional to 30,500.50, 42,090.68 and 17,071.75

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Solution

The fourth proportional to 30,500.50, 42,090.68 and 17,071.75 is: 23,559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500.50 : 42,090.68 = 17,071.75 : x
  2. Step 2: Convert to fraction form
    30,500.50/42,090.68 = 17,071.75/x
  3. Step 3: Cross multiply
    30,500.50x = 42,090.68 × 17,071.75
  4. Step 4: Simplify right side
    30,500.50x = 718,561,566.29
  5. Step 5: Solve for x
    x = 718,561,566.29/30,500.50
  6. Step 6: Final answer
    x = 23,559.01

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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.