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Finding the Fourth Proportional to 65,978.37, 98,966.19 and 16,058.76

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Solution

The fourth proportional to 65,978.37, 98,966.19 and 16,058.76 is: 24,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,978.37 : 98,966.19 = 16,058.76 : x
  2. Step 2: Convert to fraction form
    65,978.37/98,966.19 = 16,058.76/x
  3. Step 3: Cross multiply
    65,978.37x = 98,966.19 × 16,058.76
  4. Step 4: Simplify right side
    65,978.37x = 1,589,274,293.32
  5. Step 5: Solve for x
    x = 1,589,274,293.32/65,978.37
  6. Step 6: Final answer
    x = 24,087.81

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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.