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Finding the Fourth Proportional to 100,755, 139,042.71 and 56,043

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Solution

The fourth proportional to 100,755, 139,042.71 and 56,043 is: 77,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,755 : 139,042.71 = 56,043 : x
  2. Step 2: Convert to fraction form
    100,755/139,042.71 = 56,043/x
  3. Step 3: Cross multiply
    100,755x = 139,042.71 × 56,043
  4. Step 4: Simplify right side
    100,755x = 7,792,370,596.53
  5. Step 5: Solve for x
    x = 7,792,370,596.53/100,755
  6. Step 6: Final answer
    x = 77,339.79

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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.