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Finding the Fourth Proportional to 30,492.14, 42,074.08 and 17,919.32

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Solution

The fourth proportional to 30,492.14, 42,074.08 and 17,919.32 is: 24,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.14 : 42,074.08 = 17,919.32 : x
  2. Step 2: Convert to fraction form
    30,492.14/42,074.08 = 17,919.32/x
  3. Step 3: Cross multiply
    30,492.14x = 42,074.08 × 17,919.32
  4. Step 4: Simplify right side
    30,492.14x = 753,938,903.23
  5. Step 5: Solve for x
    x = 753,938,903.23/30,492.14
  6. Step 6: Final answer
    x = 24,725.68

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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.