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Finding the Fourth Proportional to 76,236.26, 105,206.04 and 42,702.26

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Solution

The fourth proportional to 76,236.26, 105,206.04 and 42,702.26 is: 58,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,236.26 : 105,206.04 = 42,702.26 : x
  2. Step 2: Convert to fraction form
    76,236.26/105,206.04 = 42,702.26/x
  3. Step 3: Cross multiply
    76,236.26x = 105,206.04 × 42,702.26
  4. Step 4: Simplify right side
    76,236.26x = 4,492,535,147.62
  5. Step 5: Solve for x
    x = 4,492,535,147.62/76,236.26
  6. Step 6: Final answer
    x = 58,929.12

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