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Finding the Fourth Proportional to 34,284.96, 51,444.72 and 13,523.04

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Solution

The fourth proportional to 34,284.96, 51,444.72 and 13,523.04 is: 20,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,284.96 : 51,444.72 = 13,523.04 : x
  2. Step 2: Convert to fraction form
    34,284.96/51,444.72 = 13,523.04/x
  3. Step 3: Cross multiply
    34,284.96x = 51,444.72 × 13,523.04
  4. Step 4: Simplify right side
    34,284.96x = 695,689,006.35
  5. Step 5: Solve for x
    x = 695,689,006.35/34,284.96
  6. Step 6: Final answer
    x = 20,291.38

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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.