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Finding the Fourth Proportional to 46,185.48, 69,278.22 and 18,477

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Solution

The fourth proportional to 46,185.48, 69,278.22 and 18,477 is: 27,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,185.48 : 69,278.22 = 18,477 : x
  2. Step 2: Convert to fraction form
    46,185.48/69,278.22 = 18,477/x
  3. Step 3: Cross multiply
    46,185.48x = 69,278.22 × 18,477
  4. Step 4: Simplify right side
    46,185.48x = 1,280,053,670.94
  5. Step 5: Solve for x
    x = 1,280,053,670.94/46,185.48
  6. Step 6: Final answer
    x = 27,715.50

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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.