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Finding the Fourth Proportional to 46,116.56, 69,173.22 and 14,951

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Solution

The fourth proportional to 46,116.56, 69,173.22 and 14,951 is: 22,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,116.56 : 69,173.22 = 14,951 : x
  2. Step 2: Convert to fraction form
    46,116.56/69,173.22 = 14,951/x
  3. Step 3: Cross multiply
    46,116.56x = 69,173.22 × 14,951
  4. Step 4: Simplify right side
    46,116.56x = 1,034,208,812.22
  5. Step 5: Solve for x
    x = 1,034,208,812.22/46,116.56
  6. Step 6: Final answer
    x = 22,425.97

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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.