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Finding the Fourth Proportional to 30,689.77, 42,352.32 and 18,114.52

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Solution

The fourth proportional to 30,689.77, 42,352.32 and 18,114.52 is: 24,998.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.77 : 42,352.32 = 18,114.52 : x
  2. Step 2: Convert to fraction form
    30,689.77/42,352.32 = 18,114.52/x
  3. Step 3: Cross multiply
    30,689.77x = 42,352.32 × 18,114.52
  4. Step 4: Simplify right side
    30,689.77x = 767,191,947.69
  5. Step 5: Solve for x
    x = 767,191,947.69/30,689.77
  6. Step 6: Final answer
    x = 24,998.30

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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.