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Finding the Fourth Proportional to 51,648.60, 77,498.50 and 20,483.16

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Solution

The fourth proportional to 51,648.60, 77,498.50 and 20,483.16 is: 30,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,648.60 : 77,498.50 = 20,483.16 : x
  2. Step 2: Convert to fraction form
    51,648.60/77,498.50 = 20,483.16/x
  3. Step 3: Cross multiply
    51,648.60x = 77,498.50 × 20,483.16
  4. Step 4: Simplify right side
    51,648.60x = 1,587,414,175.26
  5. Step 5: Solve for x
    x = 1,587,414,175.26/51,648.60
  6. Step 6: Final answer
    x = 30,734.89

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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.