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Finding the Fourth Proportional to 98,744, 136,270.14 and 54,032

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Solution

The fourth proportional to 98,744, 136,270.14 and 54,032 is: 74,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,744 : 136,270.14 = 54,032 : x
  2. Step 2: Convert to fraction form
    98,744/136,270.14 = 54,032/x
  3. Step 3: Cross multiply
    98,744x = 136,270.14 × 54,032
  4. Step 4: Simplify right side
    98,744x = 7,362,948,204.48
  5. Step 5: Solve for x
    x = 7,362,948,204.48/98,744
  6. Step 6: Final answer
    x = 74,566.03

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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.