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Finding the Fourth Proportional to 30,602.98, 45,899.19 and 8,113.82

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Solution

The fourth proportional to 30,602.98, 45,899.19 and 8,113.82 is: 12,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.98 : 45,899.19 = 8,113.82 : x
  2. Step 2: Convert to fraction form
    30,602.98/45,899.19 = 8,113.82/x
  3. Step 3: Cross multiply
    30,602.98x = 45,899.19 × 8,113.82
  4. Step 4: Simplify right side
    30,602.98x = 372,417,536.31
  5. Step 5: Solve for x
    x = 372,417,536.31/30,602.98
  6. Step 6: Final answer
    x = 12,169.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.