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Finding the Fourth Proportional to 30,742.41, 46,109.01 and 8,553.51

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Solution

The fourth proportional to 30,742.41, 46,109.01 and 8,553.51 is: 12,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.41 : 46,109.01 = 8,553.51 : x
  2. Step 2: Convert to fraction form
    30,742.41/46,109.01 = 8,553.51/x
  3. Step 3: Cross multiply
    30,742.41x = 46,109.01 × 8,553.51
  4. Step 4: Simplify right side
    30,742.41x = 394,393,878.13
  5. Step 5: Solve for x
    x = 394,393,878.13/30,742.41
  6. Step 6: Final answer
    x = 12,828.98

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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.