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Finding the Fourth Proportional to 50,428.80, 75,643.20 and 13,492.80

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Solution

The fourth proportional to 50,428.80, 75,643.20 and 13,492.80 is: 20,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,428.80 : 75,643.20 = 13,492.80 : x
  2. Step 2: Convert to fraction form
    50,428.80/75,643.20 = 13,492.80/x
  3. Step 3: Cross multiply
    50,428.80x = 75,643.20 × 13,492.80
  4. Step 4: Simplify right side
    50,428.80x = 1,020,638,568.96
  5. Step 5: Solve for x
    x = 1,020,638,568.96/50,428.80
  6. Step 6: Final answer
    x = 20,239.20

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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.