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Finding the Fourth Proportional to 76,774, 105,948.30 and 43,240

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Solution

The fourth proportional to 76,774, 105,948.30 and 43,240 is: 59,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,774 : 105,948.30 = 43,240 : x
  2. Step 2: Convert to fraction form
    76,774/105,948.30 = 43,240/x
  3. Step 3: Cross multiply
    76,774x = 105,948.30 × 43,240
  4. Step 4: Simplify right side
    76,774x = 4,581,204,492
  5. Step 5: Solve for x
    x = 4,581,204,492/76,774
  6. Step 6: Final answer
    x = 59,671.30

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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.