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Finding the Fourth Proportional to 30,498.26, 42,088.42 and 17,071.84

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Solution

The fourth proportional to 30,498.26, 42,088.42 and 17,071.84 is: 23,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.26 : 42,088.42 = 17,071.84 : x
  2. Step 2: Convert to fraction form
    30,498.26/42,088.42 = 17,071.84/x
  3. Step 3: Cross multiply
    30,498.26x = 42,088.42 × 17,071.84
  4. Step 4: Simplify right side
    30,498.26x = 718,526,772.09
  5. Step 5: Solve for x
    x = 718,526,772.09/30,498.26
  6. Step 6: Final answer
    x = 23,559.60

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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.