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Finding the Fourth Proportional to 34,652.59, 51,978.72 and 13,577.74

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Solution

The fourth proportional to 34,652.59, 51,978.72 and 13,577.74 is: 20,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.59 : 51,978.72 = 13,577.74 : x
  2. Step 2: Convert to fraction form
    34,652.59/51,978.72 = 13,577.74/x
  3. Step 3: Cross multiply
    34,652.59x = 51,978.72 × 13,577.74
  4. Step 4: Simplify right side
    34,652.59x = 705,753,466.66
  5. Step 5: Solve for x
    x = 705,753,466.66/34,652.59
  6. Step 6: Final answer
    x = 20,366.54

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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.