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Finding the Fourth Proportional to 65,027.14, 97,713.51 and 60,828.10

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Solution

The fourth proportional to 65,027.14, 97,713.51 and 60,828.10 is: 91,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,027.14 : 97,713.51 = 60,828.10 : x
  2. Step 2: Convert to fraction form
    65,027.14/97,713.51 = 60,828.10/x
  3. Step 3: Cross multiply
    65,027.14x = 97,713.51 × 60,828.10
  4. Step 4: Simplify right side
    65,027.14x = 5,943,727,157.63
  5. Step 5: Solve for x
    x = 5,943,727,157.63/65,027.14
  6. Step 6: Final answer
    x = 91,403.79

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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.