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Finding the Fourth Proportional to 76,702.26, 115,059.50 and 20,541.93

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Solution

The fourth proportional to 76,702.26, 115,059.50 and 20,541.93 is: 30,814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702.26 : 115,059.50 = 20,541.93 : x
  2. Step 2: Convert to fraction form
    76,702.26/115,059.50 = 20,541.93/x
  3. Step 3: Cross multiply
    76,702.26x = 115,059.50 × 20,541.93
  4. Step 4: Simplify right side
    76,702.26x = 2,363,544,194.84
  5. Step 5: Solve for x
    x = 2,363,544,194.84/76,702.26
  6. Step 6: Final answer
    x = 30,814.53

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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.