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Finding the Fourth Proportional to 34,077.51, 51,114.12 and 16,320.84

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Solution

The fourth proportional to 34,077.51, 51,114.12 and 16,320.84 is: 24,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077.51 : 51,114.12 = 16,320.84 : x
  2. Step 2: Convert to fraction form
    34,077.51/51,114.12 = 16,320.84/x
  3. Step 3: Cross multiply
    34,077.51x = 51,114.12 × 16,320.84
  4. Step 4: Simplify right side
    34,077.51x = 834,225,374.26
  5. Step 5: Solve for x
    x = 834,225,374.26/34,077.51
  6. Step 6: Final answer
    x = 24,480.23

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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.