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Finding the Fourth Proportional to 34,597.60, 51,877.20 and 13,797.60

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Solution

The fourth proportional to 34,597.60, 51,877.20 and 13,797.60 is: 20,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,597.60 : 51,877.20 = 13,797.60 : x
  2. Step 2: Convert to fraction form
    34,597.60/51,877.20 = 13,797.60/x
  3. Step 3: Cross multiply
    34,597.60x = 51,877.20 × 13,797.60
  4. Step 4: Simplify right side
    34,597.60x = 715,780,854.72
  5. Step 5: Solve for x
    x = 715,780,854.72/34,597.60
  6. Step 6: Final answer
    x = 20,688.74

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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.