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Finding the Fourth Proportional to 65,714.44, 90,685.92 and 35,499.76

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Solution

The fourth proportional to 65,714.44, 90,685.92 and 35,499.76 is: 48,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714.44 : 90,685.92 = 35,499.76 : x
  2. Step 2: Convert to fraction form
    65,714.44/90,685.92 = 35,499.76/x
  3. Step 3: Cross multiply
    65,714.44x = 90,685.92 × 35,499.76
  4. Step 4: Simplify right side
    65,714.44x = 3,219,328,395.38
  5. Step 5: Solve for x
    x = 3,219,328,395.38/65,714.44
  6. Step 6: Final answer
    x = 48,989.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.