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Finding the Fourth Proportional to 52,847.04, 72,926.59 and 31,638

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Solution

The fourth proportional to 52,847.04, 72,926.59 and 31,638 is: 43,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,847.04 : 72,926.59 = 31,638 : x
  2. Step 2: Convert to fraction form
    52,847.04/72,926.59 = 31,638/x
  3. Step 3: Cross multiply
    52,847.04x = 72,926.59 × 31,638
  4. Step 4: Simplify right side
    52,847.04x = 2,307,251,454.42
  5. Step 5: Solve for x
    x = 2,307,251,454.42/52,847.04
  6. Step 6: Final answer
    x = 43,659.05

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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.