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Finding the Fourth Proportional to 46,499.56, 69,743.56 and 14,913.16

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Solution

The fourth proportional to 46,499.56, 69,743.56 and 14,913.16 is: 22,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,499.56 : 69,743.56 = 14,913.16 : x
  2. Step 2: Convert to fraction form
    46,499.56/69,743.56 = 14,913.16/x
  3. Step 3: Cross multiply
    46,499.56x = 69,743.56 × 14,913.16
  4. Step 4: Simplify right side
    46,499.56x = 1,040,096,869.25
  5. Step 5: Solve for x
    x = 1,040,096,869.25/46,499.56
  6. Step 6: Final answer
    x = 22,367.89

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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.