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Finding the Fourth Proportional to 46,596.14, 69,905.14 and 15,431.40

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Solution

The fourth proportional to 46,596.14, 69,905.14 and 15,431.40 is: 23,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,596.14 : 69,905.14 = 15,431.40 : x
  2. Step 2: Convert to fraction form
    46,596.14/69,905.14 = 15,431.40/x
  3. Step 3: Cross multiply
    46,596.14x = 69,905.14 × 15,431.40
  4. Step 4: Simplify right side
    46,596.14x = 1,078,734,177.40
  5. Step 5: Solve for x
    x = 1,078,734,177.40/46,596.14
  6. Step 6: Final answer
    x = 23,150.72

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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.