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Finding the Fourth Proportional to 65,714.40, 98,595.90 and 21,342.60

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Solution

The fourth proportional to 65,714.40, 98,595.90 and 21,342.60 is: 32,021.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714.40 : 98,595.90 = 21,342.60 : x
  2. Step 2: Convert to fraction form
    65,714.40/98,595.90 = 21,342.60/x
  3. Step 3: Cross multiply
    65,714.40x = 98,595.90 × 21,342.60
  4. Step 4: Simplify right side
    65,714.40x = 2,104,292,855.34
  5. Step 5: Solve for x
    x = 2,104,292,855.34/65,714.40
  6. Step 6: Final answer
    x = 32,021.79

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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.