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Finding the Fourth Proportional to 46,357.56, 69,505.62 and 16,771.50

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Solution

The fourth proportional to 46,357.56, 69,505.62 and 16,771.50 is: 25,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,357.56 : 69,505.62 = 16,771.50 : x
  2. Step 2: Convert to fraction form
    46,357.56/69,505.62 = 16,771.50/x
  3. Step 3: Cross multiply
    46,357.56x = 69,505.62 × 16,771.50
  4. Step 4: Simplify right side
    46,357.56x = 1,165,713,505.83
  5. Step 5: Solve for x
    x = 1,165,713,505.83/46,357.56
  6. Step 6: Final answer
    x = 25,146.14

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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.