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Finding the Fourth Proportional to 30,675.62, 42,407.82 and 30,394.95

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Solution

The fourth proportional to 30,675.62, 42,407.82 and 30,394.95 is: 42,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.62 : 42,407.82 = 30,394.95 : x
  2. Step 2: Convert to fraction form
    30,675.62/42,407.82 = 30,394.95/x
  3. Step 3: Cross multiply
    30,675.62x = 42,407.82 × 30,394.95
  4. Step 4: Simplify right side
    30,675.62x = 1,288,983,568.51
  5. Step 5: Solve for x
    x = 1,288,983,568.51/30,675.62
  6. Step 6: Final answer
    x = 42,019.81

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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.