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Finding the Fourth Proportional to 65,322.27, 97,987.86 and 25,879.32

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Solution

The fourth proportional to 65,322.27, 97,987.86 and 25,879.32 is: 38,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,322.27 : 97,987.86 = 25,879.32 : x
  2. Step 2: Convert to fraction form
    65,322.27/97,987.86 = 25,879.32/x
  3. Step 3: Cross multiply
    65,322.27x = 97,987.86 × 25,879.32
  4. Step 4: Simplify right side
    65,322.27x = 2,535,859,185.06
  5. Step 5: Solve for x
    x = 2,535,859,185.06/65,322.27
  6. Step 6: Final answer
    x = 38,820.74

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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.