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Finding the Fourth Proportional to 76,536.92, 105,638.09 and 42,557.33

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Solution

The fourth proportional to 76,536.92, 105,638.09 and 42,557.33 is: 58,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,536.92 : 105,638.09 = 42,557.33 : x
  2. Step 2: Convert to fraction form
    76,536.92/105,638.09 = 42,557.33/x
  3. Step 3: Cross multiply
    76,536.92x = 105,638.09 × 42,557.33
  4. Step 4: Simplify right side
    76,536.92x = 4,495,675,108.01
  5. Step 5: Solve for x
    x = 4,495,675,108.01/76,536.92
  6. Step 6: Final answer
    x = 58,738.64

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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.