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Finding the Fourth Proportional to 48,596, 72,854.88 and 20,913.44

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Solution

The fourth proportional to 48,596, 72,854.88 and 20,913.44 is: 31,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,596 : 72,854.88 = 20,913.44 : x
  2. Step 2: Convert to fraction form
    48,596/72,854.88 = 20,913.44/x
  3. Step 3: Cross multiply
    48,596x = 72,854.88 × 20,913.44
  4. Step 4: Simplify right side
    48,596x = 1,523,646,161.59
  5. Step 5: Solve for x
    x = 1,523,646,161.59/48,596
  6. Step 6: Final answer
    x = 31,353.32

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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.