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Finding the Fourth Proportional to 30,835.98, 46,236.51 and 9,772.02

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Solution

The fourth proportional to 30,835.98, 46,236.51 and 9,772.02 is: 14,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.98 : 46,236.51 = 9,772.02 : x
  2. Step 2: Convert to fraction form
    30,835.98/46,236.51 = 9,772.02/x
  3. Step 3: Cross multiply
    30,835.98x = 46,236.51 × 9,772.02
  4. Step 4: Simplify right side
    30,835.98x = 451,824,100.45
  5. Step 5: Solve for x
    x = 451,824,100.45/30,835.98
  6. Step 6: Final answer
    x = 14,652.50

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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.