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Finding the Fourth Proportional to 76,666.96, 105,800.22 and 43,132.96

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Solution

The fourth proportional to 76,666.96, 105,800.22 and 43,132.96 is: 59,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,666.96 : 105,800.22 = 43,132.96 : x
  2. Step 2: Convert to fraction form
    76,666.96/105,800.22 = 43,132.96/x
  3. Step 3: Cross multiply
    76,666.96x = 105,800.22 × 43,132.96
  4. Step 4: Simplify right side
    76,666.96x = 4,563,476,657.25
  5. Step 5: Solve for x
    x = 4,563,476,657.25/76,666.96
  6. Step 6: Final answer
    x = 59,523.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.