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Finding the Fourth Proportional to 31,051.54, 46,577.74 and 8,864.92

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Solution

The fourth proportional to 31,051.54, 46,577.74 and 8,864.92 is: 13,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,051.54 : 46,577.74 = 8,864.92 : x
  2. Step 2: Convert to fraction form
    31,051.54/46,577.74 = 8,864.92/x
  3. Step 3: Cross multiply
    31,051.54x = 46,577.74 × 8,864.92
  4. Step 4: Simplify right side
    31,051.54x = 412,907,938.88
  5. Step 5: Solve for x
    x = 412,907,938.88/31,051.54
  6. Step 6: Final answer
    x = 13,297.50

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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.