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Finding the Fourth Proportional to 46,507.40, 69,759.53 and 20,212.14

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Solution

The fourth proportional to 46,507.40, 69,759.53 and 20,212.14 is: 30,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,507.40 : 69,759.53 = 20,212.14 : x
  2. Step 2: Convert to fraction form
    46,507.40/69,759.53 = 20,212.14/x
  3. Step 3: Cross multiply
    46,507.40x = 69,759.53 × 20,212.14
  4. Step 4: Simplify right side
    46,507.40x = 1,409,989,285.63
  5. Step 5: Solve for x
    x = 1,409,989,285.63/46,507.40
  6. Step 6: Final answer
    x = 30,317.53

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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.