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Finding the Fourth Proportional to 31,368.51, 47,051.99 and 7,675.87

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Solution

The fourth proportional to 31,368.51, 47,051.99 and 7,675.87 is: 11,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,368.51 : 47,051.99 = 7,675.87 : x
  2. Step 2: Convert to fraction form
    31,368.51/47,051.99 = 7,675.87/x
  3. Step 3: Cross multiply
    31,368.51x = 47,051.99 × 7,675.87
  4. Step 4: Simplify right side
    31,368.51x = 361,164,757.43
  5. Step 5: Solve for x
    x = 361,164,757.43/31,368.51
  6. Step 6: Final answer
    x = 11,513.61

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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.