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Finding the Fourth Proportional to 65,714.60, 98,571.90 and 30,657.80

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Solution

The fourth proportional to 65,714.60, 98,571.90 and 30,657.80 is: 45,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714.60 : 98,571.90 = 30,657.80 : x
  2. Step 2: Convert to fraction form
    65,714.60/98,571.90 = 30,657.80/x
  3. Step 3: Cross multiply
    65,714.60x = 98,571.90 × 30,657.80
  4. Step 4: Simplify right side
    65,714.60x = 3,021,997,595.82
  5. Step 5: Solve for x
    x = 3,021,997,595.82/65,714.60
  6. Step 6: Final answer
    x = 45,986.70

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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.