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Finding the Fourth Proportional to 98,184, 135,493.92 and 53,472

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Solution

The fourth proportional to 98,184, 135,493.92 and 53,472 is: 73,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,184 : 135,493.92 = 53,472 : x
  2. Step 2: Convert to fraction form
    98,184/135,493.92 = 53,472/x
  3. Step 3: Cross multiply
    98,184x = 135,493.92 × 53,472
  4. Step 4: Simplify right side
    98,184x = 7,245,130,890.24
  5. Step 5: Solve for x
    x = 7,245,130,890.24/98,184
  6. Step 6: Final answer
    x = 73,791.36

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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.