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Finding the Fourth Proportional to 73,893.06, 110,746.14 and 47,228.77

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Solution

The fourth proportional to 73,893.06, 110,746.14 and 47,228.77 is: 70,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,893.06 : 110,746.14 = 47,228.77 : x
  2. Step 2: Convert to fraction form
    73,893.06/110,746.14 = 47,228.77/x
  3. Step 3: Cross multiply
    73,893.06x = 110,746.14 × 47,228.77
  4. Step 4: Simplify right side
    73,893.06x = 5,230,403,935.77
  5. Step 5: Solve for x
    x = 5,230,403,935.77/73,893.06
  6. Step 6: Final answer
    x = 70,783.43

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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.