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Finding the Fourth Proportional to 46,643.70, 69,965.55 and 15,478.95

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Solution

The fourth proportional to 46,643.70, 69,965.55 and 15,478.95 is: 23,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643.70 : 69,965.55 = 15,478.95 : x
  2. Step 2: Convert to fraction form
    46,643.70/69,965.55 = 15,478.95/x
  3. Step 3: Cross multiply
    46,643.70x = 69,965.55 × 15,478.95
  4. Step 4: Simplify right side
    46,643.70x = 1,082,993,250.17
  5. Step 5: Solve for x
    x = 1,082,993,250.17/46,643.70
  6. Step 6: Final answer
    x = 23,218.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.