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Finding the Fourth Proportional to 65,840.32, 98,738.55 and 28,377

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Solution

The fourth proportional to 65,840.32, 98,738.55 and 28,377 is: 42,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,840.32 : 98,738.55 = 28,377 : x
  2. Step 2: Convert to fraction form
    65,840.32/98,738.55 = 28,377/x
  3. Step 3: Cross multiply
    65,840.32x = 98,738.55 × 28,377
  4. Step 4: Simplify right side
    65,840.32x = 2,801,903,833.35
  5. Step 5: Solve for x
    x = 2,801,903,833.35/65,840.32
  6. Step 6: Final answer
    x = 42,556.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.