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Finding the Fourth Proportional to 52,085.67, 78,128.52 and 14,649.72

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Solution

The fourth proportional to 52,085.67, 78,128.52 and 14,649.72 is: 21,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,085.67 : 78,128.52 = 14,649.72 : x
  2. Step 2: Convert to fraction form
    52,085.67/78,128.52 = 14,649.72/x
  3. Step 3: Cross multiply
    52,085.67x = 78,128.52 × 14,649.72
  4. Step 4: Simplify right side
    52,085.67x = 1,144,560,942.01
  5. Step 5: Solve for x
    x = 1,144,560,942.01/52,085.67
  6. Step 6: Final answer
    x = 21,974.58

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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.