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Finding the Fourth Proportional to 34,219.60, 51,307.20 and 14,492.80

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Solution

The fourth proportional to 34,219.60, 51,307.20 and 14,492.80 is: 21,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,219.60 : 51,307.20 = 14,492.80 : x
  2. Step 2: Convert to fraction form
    34,219.60/51,307.20 = 14,492.80/x
  3. Step 3: Cross multiply
    34,219.60x = 51,307.20 × 14,492.80
  4. Step 4: Simplify right side
    34,219.60x = 743,584,988.16
  5. Step 5: Solve for x
    x = 743,584,988.16/34,219.60
  6. Step 6: Final answer
    x = 21,729.80

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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.