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Finding the Fourth Proportional to 31,124.96, 46,668.56 and 12,407.84

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Solution

The fourth proportional to 31,124.96, 46,668.56 and 12,407.84 is: 18,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.96 : 46,668.56 = 12,407.84 : x
  2. Step 2: Convert to fraction form
    31,124.96/46,668.56 = 12,407.84/x
  3. Step 3: Cross multiply
    31,124.96x = 46,668.56 × 12,407.84
  4. Step 4: Simplify right side
    31,124.96x = 579,056,025.51
  5. Step 5: Solve for x
    x = 579,056,025.51/31,124.96
  6. Step 6: Final answer
    x = 18,604.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.