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Finding the Fourth Proportional to 65,835.52, 98,763.54 and 21,451.96

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Solution

The fourth proportional to 65,835.52, 98,763.54 and 21,451.96 is: 32,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,835.52 : 98,763.54 = 21,451.96 : x
  2. Step 2: Convert to fraction form
    65,835.52/98,763.54 = 21,451.96/x
  3. Step 3: Cross multiply
    65,835.52x = 98,763.54 × 21,451.96
  4. Step 4: Simplify right side
    65,835.52x = 2,118,671,509.54
  5. Step 5: Solve for x
    x = 2,118,671,509.54/65,835.52
  6. Step 6: Final answer
    x = 32,181.28

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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.