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Finding the Fourth Proportional to 30,486.14, 42,074.73 and 18,548.76

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Solution

The fourth proportional to 30,486.14, 42,074.73 and 18,548.76 is: 25,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486.14 : 42,074.73 = 18,548.76 : x
  2. Step 2: Convert to fraction form
    30,486.14/42,074.73 = 18,548.76/x
  3. Step 3: Cross multiply
    30,486.14x = 42,074.73 × 18,548.76
  4. Step 4: Simplify right side
    30,486.14x = 780,434,068.83
  5. Step 5: Solve for x
    x = 780,434,068.83/30,486.14
  6. Step 6: Final answer
    x = 25,599.64

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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.