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Finding the Fourth Proportional to 76,843.66, 115,259.01 and 43,458.70

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Solution

The fourth proportional to 76,843.66, 115,259.01 and 43,458.70 is: 65,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,843.66 : 115,259.01 = 43,458.70 : x
  2. Step 2: Convert to fraction form
    76,843.66/115,259.01 = 43,458.70/x
  3. Step 3: Cross multiply
    76,843.66x = 115,259.01 × 43,458.70
  4. Step 4: Simplify right side
    76,843.66x = 5,009,006,737.89
  5. Step 5: Solve for x
    x = 5,009,006,737.89/76,843.66
  6. Step 6: Final answer
    x = 65,184.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.