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Finding the Fourth Proportional to 30,492.57, 45,742.50 and 10,767.09

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Solution

The fourth proportional to 30,492.57, 45,742.50 and 10,767.09 is: 16,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.57 : 45,742.50 = 10,767.09 : x
  2. Step 2: Convert to fraction form
    30,492.57/45,742.50 = 10,767.09/x
  3. Step 3: Cross multiply
    30,492.57x = 45,742.50 × 10,767.09
  4. Step 4: Simplify right side
    30,492.57x = 492,513,614.33
  5. Step 5: Solve for x
    x = 492,513,614.33/30,492.57
  6. Step 6: Final answer
    x = 16,151.92

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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.