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Finding the Fourth Proportional to 65,818.13, 90,829 and 37,143.86

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Solution

The fourth proportional to 65,818.13, 90,829 and 37,143.86 is: 51,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,818.13 : 90,829 = 37,143.86 : x
  2. Step 2: Convert to fraction form
    65,818.13/90,829 = 37,143.86/x
  3. Step 3: Cross multiply
    65,818.13x = 90,829 × 37,143.86
  4. Step 4: Simplify right side
    65,818.13x = 3,373,739,659.94
  5. Step 5: Solve for x
    x = 3,373,739,659.94/65,818.13
  6. Step 6: Final answer
    x = 51,258.52

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