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Finding the Fourth Proportional to 30,675.42, 42,322.23 and 18,097.74

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Solution

The fourth proportional to 30,675.42, 42,322.23 and 18,097.74 is: 24,969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.42 : 42,322.23 = 18,097.74 : x
  2. Step 2: Convert to fraction form
    30,675.42/42,322.23 = 18,097.74/x
  3. Step 3: Cross multiply
    30,675.42x = 42,322.23 × 18,097.74
  4. Step 4: Simplify right side
    30,675.42x = 765,936,714.76
  5. Step 5: Solve for x
    x = 765,936,714.76/30,675.42
  6. Step 6: Final answer
    x = 24,969.07

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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.