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Finding the Fourth Proportional to 92,977.84, 128,309.88 and 50,537.20

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Solution

The fourth proportional to 92,977.84, 128,309.88 and 50,537.20 is: 69,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,977.84 : 128,309.88 = 50,537.20 : x
  2. Step 2: Convert to fraction form
    92,977.84/128,309.88 = 50,537.20/x
  3. Step 3: Cross multiply
    92,977.84x = 128,309.88 × 50,537.20
  4. Step 4: Simplify right side
    92,977.84x = 6,484,422,067.54
  5. Step 5: Solve for x
    x = 6,484,422,067.54/92,977.84
  6. Step 6: Final answer
    x = 69,741.59

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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.