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Finding the Fourth Proportional to 65,986.94, 98,978.48 and 16,066.31

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Solution

The fourth proportional to 65,986.94, 98,978.48 and 16,066.31 is: 24,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,986.94 : 98,978.48 = 16,066.31 : x
  2. Step 2: Convert to fraction form
    65,986.94/98,978.48 = 16,066.31/x
  3. Step 3: Cross multiply
    65,986.94x = 98,978.48 × 16,066.31
  4. Step 4: Simplify right side
    65,986.94x = 1,590,219,279.23
  5. Step 5: Solve for x
    x = 1,590,219,279.23/65,986.94
  6. Step 6: Final answer
    x = 24,099.00

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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.