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Finding the Fourth Proportional to 65,714.10, 98,571.15 and 30,657.30

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Solution

The fourth proportional to 65,714.10, 98,571.15 and 30,657.30 is: 45,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714.10 : 98,571.15 = 30,657.30 : x
  2. Step 2: Convert to fraction form
    65,714.10/98,571.15 = 30,657.30/x
  3. Step 3: Cross multiply
    65,714.10x = 98,571.15 × 30,657.30
  4. Step 4: Simplify right side
    65,714.10x = 3,021,925,316.90
  5. Step 5: Solve for x
    x = 3,021,925,316.90/65,714.10
  6. Step 6: Final answer
    x = 45,985.95

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Similar ratio
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1.5x scale

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.