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Finding the Fourth Proportional to 110,597.60, 165,896.40 and 48,389.60

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Solution

The fourth proportional to 110,597.60, 165,896.40 and 48,389.60 is: 72,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,597.60 : 165,896.40 = 48,389.60 : x
  2. Step 2: Convert to fraction form
    110,597.60/165,896.40 = 48,389.60/x
  3. Step 3: Cross multiply
    110,597.60x = 165,896.40 × 48,389.60
  4. Step 4: Simplify right side
    110,597.60x = 8,027,660,437.44
  5. Step 5: Solve for x
    x = 8,027,660,437.44/110,597.60
  6. Step 6: Final answer
    x = 72,584.40

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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.