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Finding the Fourth Proportional to 34,266.96, 51,419.88 and 14,543.46

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Solution

The fourth proportional to 34,266.96, 51,419.88 and 14,543.46 is: 21,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,266.96 : 51,419.88 = 14,543.46 : x
  2. Step 2: Convert to fraction form
    34,266.96/51,419.88 = 14,543.46/x
  3. Step 3: Cross multiply
    34,266.96x = 51,419.88 × 14,543.46
  4. Step 4: Simplify right side
    34,266.96x = 747,822,967.98
  5. Step 5: Solve for x
    x = 747,822,967.98/34,266.96
  6. Step 6: Final answer
    x = 21,823.44

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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.