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Finding the Fourth Proportional to 46,922.56, 70,394.46 and 15,757

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Solution

The fourth proportional to 46,922.56, 70,394.46 and 15,757 is: 23,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,922.56 : 70,394.46 = 15,757 : x
  2. Step 2: Convert to fraction form
    46,922.56/70,394.46 = 15,757/x
  3. Step 3: Cross multiply
    46,922.56x = 70,394.46 × 15,757
  4. Step 4: Simplify right side
    46,922.56x = 1,109,205,506.22
  5. Step 5: Solve for x
    x = 1,109,205,506.22/46,922.56
  6. Step 6: Final answer
    x = 23,639.07

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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.