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Finding the Fourth Proportional to 30,574.77, 42,193.10 and 18,638.10

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Solution

The fourth proportional to 30,574.77, 42,193.10 and 18,638.10 is: 25,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.77 : 42,193.10 = 18,638.10 : x
  2. Step 2: Convert to fraction form
    30,574.77/42,193.10 = 18,638.10/x
  3. Step 3: Cross multiply
    30,574.77x = 42,193.10 × 18,638.10
  4. Step 4: Simplify right side
    30,574.77x = 786,399,263.71
  5. Step 5: Solve for x
    x = 786,399,263.71/30,574.77
  6. Step 6: Final answer
    x = 25,720.53

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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.