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Finding the Fourth Proportional to 64,584.76, 96,877 and 17,837.50

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Solution

The fourth proportional to 64,584.76, 96,877 and 17,837.50 is: 26,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,584.76 : 96,877 = 17,837.50 : x
  2. Step 2: Convert to fraction form
    64,584.76/96,877 = 17,837.50/x
  3. Step 3: Cross multiply
    64,584.76x = 96,877 × 17,837.50
  4. Step 4: Simplify right side
    64,584.76x = 1,728,043,487.50
  5. Step 5: Solve for x
    x = 1,728,043,487.50/64,584.76
  6. Step 6: Final answer
    x = 26,756.21

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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.