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Finding the Fourth Proportional to 76,166.92, 105,100.50 and 42,632.92

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Solution

The fourth proportional to 76,166.92, 105,100.50 and 42,632.92 is: 58,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,166.92 : 105,100.50 = 42,632.92 : x
  2. Step 2: Convert to fraction form
    76,166.92/105,100.50 = 42,632.92/x
  3. Step 3: Cross multiply
    76,166.92x = 105,100.50 × 42,632.92
  4. Step 4: Simplify right side
    76,166.92x = 4,480,741,208.46
  5. Step 5: Solve for x
    x = 4,480,741,208.46/76,166.92
  6. Step 6: Final answer
    x = 58,827.92

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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.