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Finding the Fourth Proportional to 70,383.34, 105,590.94 and 23,635

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Solution

The fourth proportional to 70,383.34, 105,590.94 and 23,635 is: 35,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,383.34 : 105,590.94 = 23,635 : x
  2. Step 2: Convert to fraction form
    70,383.34/105,590.94 = 23,635/x
  3. Step 3: Cross multiply
    70,383.34x = 105,590.94 × 23,635
  4. Step 4: Simplify right side
    70,383.34x = 2,495,641,866.90
  5. Step 5: Solve for x
    x = 2,495,641,866.90/70,383.34
  6. Step 6: Final answer
    x = 35,457.85

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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.