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Finding the Fourth Proportional to 73,564.86, 110,345.10 and 43,783.44

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Solution

The fourth proportional to 73,564.86, 110,345.10 and 43,783.44 is: 65,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,564.86 : 110,345.10 = 43,783.44 : x
  2. Step 2: Convert to fraction form
    73,564.86/110,345.10 = 43,783.44/x
  3. Step 3: Cross multiply
    73,564.86x = 110,345.10 × 43,783.44
  4. Step 4: Simplify right side
    73,564.86x = 4,831,288,065.14
  5. Step 5: Solve for x
    x = 4,831,288,065.14/73,564.86
  6. Step 6: Final answer
    x = 65,673.86

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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.