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Finding the Fourth Proportional to 46,272.54, 69,409 and 12,992.88

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Solution

The fourth proportional to 46,272.54, 69,409 and 12,992.88 is: 19,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,272.54 : 69,409 = 12,992.88 : x
  2. Step 2: Convert to fraction form
    46,272.54/69,409 = 12,992.88/x
  3. Step 3: Cross multiply
    46,272.54x = 69,409 × 12,992.88
  4. Step 4: Simplify right side
    46,272.54x = 901,822,807.92
  5. Step 5: Solve for x
    x = 901,822,807.92/46,272.54
  6. Step 6: Final answer
    x = 19,489.37

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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.