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Finding the Fourth Proportional to 46,152, 69,238.44 and 14,561.82

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Solution

The fourth proportional to 46,152, 69,238.44 and 14,561.82 is: 21,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,152 : 69,238.44 = 14,561.82 : x
  2. Step 2: Convert to fraction form
    46,152/69,238.44 = 14,561.82/x
  3. Step 3: Cross multiply
    46,152x = 69,238.44 × 14,561.82
  4. Step 4: Simplify right side
    46,152x = 1,008,237,700.36
  5. Step 5: Solve for x
    x = 1,008,237,700.36/46,152
  6. Step 6: Final answer
    x = 21,846.02

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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.