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Finding the Fourth Proportional to 34,938.30, 52,409.52 and 9,976.44

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Solution

The fourth proportional to 34,938.30, 52,409.52 and 9,976.44 is: 14,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,938.30 : 52,409.52 = 9,976.44 : x
  2. Step 2: Convert to fraction form
    34,938.30/52,409.52 = 9,976.44/x
  3. Step 3: Cross multiply
    34,938.30x = 52,409.52 × 9,976.44
  4. Step 4: Simplify right side
    34,938.30x = 522,860,431.71
  5. Step 5: Solve for x
    x = 522,860,431.71/34,938.30
  6. Step 6: Final answer
    x = 14,965.25

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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.