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Finding the Fourth Proportional to 30,970.21, 42,739.90 and 17,541.16

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Solution

The fourth proportional to 30,970.21, 42,739.90 and 17,541.16 is: 24,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.21 : 42,739.90 = 17,541.16 : x
  2. Step 2: Convert to fraction form
    30,970.21/42,739.90 = 17,541.16/x
  3. Step 3: Cross multiply
    30,970.21x = 42,739.90 × 17,541.16
  4. Step 4: Simplify right side
    30,970.21x = 749,707,424.28
  5. Step 5: Solve for x
    x = 749,707,424.28/30,970.21
  6. Step 6: Final answer
    x = 24,207.37

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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.