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Finding the Fourth Proportional to 46,478.75, 69,729.06 and 15,314

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Solution

The fourth proportional to 46,478.75, 69,729.06 and 15,314 is: 22,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,478.75 : 69,729.06 = 15,314 : x
  2. Step 2: Convert to fraction form
    46,478.75/69,729.06 = 15,314/x
  3. Step 3: Cross multiply
    46,478.75x = 69,729.06 × 15,314
  4. Step 4: Simplify right side
    46,478.75x = 1,067,830,824.84
  5. Step 5: Solve for x
    x = 1,067,830,824.84/46,478.75
  6. Step 6: Final answer
    x = 22,974.60

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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.