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Finding the Fourth Proportional to 65,577, 98,339.58 and 32,272.68

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Solution

The fourth proportional to 65,577, 98,339.58 and 32,272.68 is: 48,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,577 : 98,339.58 = 32,272.68 : x
  2. Step 2: Convert to fraction form
    65,577/98,339.58 = 32,272.68/x
  3. Step 3: Cross multiply
    65,577x = 98,339.58 × 32,272.68
  4. Step 4: Simplify right side
    65,577x = 3,173,681,796.67
  5. Step 5: Solve for x
    x = 3,173,681,796.67/65,577
  6. Step 6: Final answer
    x = 48,396.26

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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.