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Finding the Fourth Proportional to 98,829.68, 136,384 and 53,506.48

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Solution

The fourth proportional to 98,829.68, 136,384 and 53,506.48 is: 73,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,829.68 : 136,384 = 53,506.48 : x
  2. Step 2: Convert to fraction form
    98,829.68/136,384 = 53,506.48/x
  3. Step 3: Cross multiply
    98,829.68x = 136,384 × 53,506.48
  4. Step 4: Simplify right side
    98,829.68x = 7,297,427,768.32
  5. Step 5: Solve for x
    x = 7,297,427,768.32/98,829.68
  6. Step 6: Final answer
    x = 73,838.42

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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.