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Finding the Fourth Proportional to 34,930.37, 52,396.02 and 9,970.40

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Solution

The fourth proportional to 34,930.37, 52,396.02 and 9,970.40 is: 14,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930.37 : 52,396.02 = 9,970.40 : x
  2. Step 2: Convert to fraction form
    34,930.37/52,396.02 = 9,970.40/x
  3. Step 3: Cross multiply
    34,930.37x = 52,396.02 × 9,970.40
  4. Step 4: Simplify right side
    34,930.37x = 522,409,015.83
  5. Step 5: Solve for x
    x = 522,409,015.83/34,930.37
  6. Step 6: Final answer
    x = 14,955.73

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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.