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Finding the Fourth Proportional to 88,042.34, 121,497.72 and 47,756

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Solution

The fourth proportional to 88,042.34, 121,497.72 and 47,756 is: 65,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,042.34 : 121,497.72 = 47,756 : x
  2. Step 2: Convert to fraction form
    88,042.34/121,497.72 = 47,756/x
  3. Step 3: Cross multiply
    88,042.34x = 121,497.72 × 47,756
  4. Step 4: Simplify right side
    88,042.34x = 5,802,245,116.32
  5. Step 5: Solve for x
    x = 5,802,245,116.32/88,042.34
  6. Step 6: Final answer
    x = 65,902.90

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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.