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Finding the Fourth Proportional to 30,752, 46,131.24 and 14,109.20

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Solution

The fourth proportional to 30,752, 46,131.24 and 14,109.20 is: 21,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752 : 46,131.24 = 14,109.20 : x
  2. Step 2: Convert to fraction form
    30,752/46,131.24 = 14,109.20/x
  3. Step 3: Cross multiply
    30,752x = 46,131.24 × 14,109.20
  4. Step 4: Simplify right side
    30,752x = 650,874,891.41
  5. Step 5: Solve for x
    x = 650,874,891.41/30,752
  6. Step 6: Final answer
    x = 21,165.29

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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.