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Finding the Fourth Proportional to 98,092, 147,139.37 and 27,971.31

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Solution

The fourth proportional to 98,092, 147,139.37 and 27,971.31 is: 41,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,092 : 147,139.37 = 27,971.31 : x
  2. Step 2: Convert to fraction form
    98,092/147,139.37 = 27,971.31/x
  3. Step 3: Cross multiply
    98,092x = 147,139.37 × 27,971.31
  4. Step 4: Simplify right side
    98,092x = 4,115,680,931.47
  5. Step 5: Solve for x
    x = 4,115,680,931.47/98,092
  6. Step 6: Final answer
    x = 41,957.36

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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.