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Finding the Fourth Proportional to 29,120.16, 43,678.44 and 14,314.16

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Solution

The fourth proportional to 29,120.16, 43,678.44 and 14,314.16 is: 21,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,120.16 : 43,678.44 = 14,314.16 : x
  2. Step 2: Convert to fraction form
    29,120.16/43,678.44 = 14,314.16/x
  3. Step 3: Cross multiply
    29,120.16x = 43,678.44 × 14,314.16
  4. Step 4: Simplify right side
    29,120.16x = 625,220,178.71
  5. Step 5: Solve for x
    x = 625,220,178.71/29,120.16
  6. Step 6: Final answer
    x = 21,470.36

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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.