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Finding the Fourth Proportional to 76,589.04, 105,691.86 and 43,055.04

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Solution

The fourth proportional to 76,589.04, 105,691.86 and 43,055.04 is: 59,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,589.04 : 105,691.86 = 43,055.04 : x
  2. Step 2: Convert to fraction form
    76,589.04/105,691.86 = 43,055.04/x
  3. Step 3: Cross multiply
    76,589.04x = 105,691.86 × 43,055.04
  4. Step 4: Simplify right side
    76,589.04x = 4,550,567,259.97
  5. Step 5: Solve for x
    x = 4,550,567,259.97/76,589.04
  6. Step 6: Final answer
    x = 59,415.38

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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.