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Finding the Fourth Proportional to 65,042.37, 97,562.07 and 29,981.97

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Solution

The fourth proportional to 65,042.37, 97,562.07 and 29,981.97 is: 44,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,042.37 : 97,562.07 = 29,981.97 : x
  2. Step 2: Convert to fraction form
    65,042.37/97,562.07 = 29,981.97/x
  3. Step 3: Cross multiply
    65,042.37x = 97,562.07 × 29,981.97
  4. Step 4: Simplify right side
    65,042.37x = 2,925,103,055.88
  5. Step 5: Solve for x
    x = 2,925,103,055.88/65,042.37
  6. Step 6: Final answer
    x = 44,972.27

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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.