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Finding the Fourth Proportional to 30,458.16, 42,034.36 and 17,029.18

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Solution

The fourth proportional to 30,458.16, 42,034.36 and 17,029.18 is: 23,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458.16 : 42,034.36 = 17,029.18 : x
  2. Step 2: Convert to fraction form
    30,458.16/42,034.36 = 17,029.18/x
  3. Step 3: Cross multiply
    30,458.16x = 42,034.36 × 17,029.18
  4. Step 4: Simplify right side
    30,458.16x = 715,810,682.62
  5. Step 5: Solve for x
    x = 715,810,682.62/30,458.16
  6. Step 6: Final answer
    x = 23,501.44

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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.