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Finding the Fourth Proportional to 76,652.28, 105,780.12 and 43,118.28

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Solution

The fourth proportional to 76,652.28, 105,780.12 and 43,118.28 is: 59,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,652.28 : 105,780.12 = 43,118.28 : x
  2. Step 2: Convert to fraction form
    76,652.28/105,780.12 = 43,118.28/x
  3. Step 3: Cross multiply
    76,652.28x = 105,780.12 × 43,118.28
  4. Step 4: Simplify right side
    76,652.28x = 4,561,056,832.59
  5. Step 5: Solve for x
    x = 4,561,056,832.59/76,652.28
  6. Step 6: Final answer
    x = 59,503.21

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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.