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Finding the Fourth Proportional to 105,511.38, 145,600.25 and 57,755.67

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Solution

The fourth proportional to 105,511.38, 145,600.25 and 57,755.67 is: 79,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,511.38 : 145,600.25 = 57,755.67 : x
  2. Step 2: Convert to fraction form
    105,511.38/145,600.25 = 57,755.67/x
  3. Step 3: Cross multiply
    105,511.38x = 145,600.25 × 57,755.67
  4. Step 4: Simplify right side
    105,511.38x = 8,409,239,702.14
  5. Step 5: Solve for x
    x = 8,409,239,702.14/105,511.38
  6. Step 6: Final answer
    x = 79,699.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.