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Finding the Fourth Proportional to 64,584.32, 96,878.32 and 17,837.20

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Solution

The fourth proportional to 64,584.32, 96,878.32 and 17,837.20 is: 26,756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,584.32 : 96,878.32 = 17,837.20 : x
  2. Step 2: Convert to fraction form
    64,584.32/96,878.32 = 17,837.20/x
  3. Step 3: Cross multiply
    64,584.32x = 96,878.32 × 17,837.20
  4. Step 4: Simplify right side
    64,584.32x = 1,728,037,969.50
  5. Step 5: Solve for x
    x = 1,728,037,969.50/64,584.32
  6. Step 6: Final answer
    x = 26,756.31

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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.