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Finding the Fourth Proportional to 30,709.40, 46,037.10 and 20,816.60

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Solution

The fourth proportional to 30,709.40, 46,037.10 and 20,816.60 is: 31,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.40 : 46,037.10 = 20,816.60 : x
  2. Step 2: Convert to fraction form
    30,709.40/46,037.10 = 20,816.60/x
  3. Step 3: Cross multiply
    30,709.40x = 46,037.10 × 20,816.60
  4. Step 4: Simplify right side
    30,709.40x = 958,335,895.86
  5. Step 5: Solve for x
    x = 958,335,895.86/30,709.40
  6. Step 6: Final answer
    x = 31,206.60

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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.