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Finding the Fourth Proportional to 53,764.40, 80,648.40 and 14,325.50

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Solution

The fourth proportional to 53,764.40, 80,648.40 and 14,325.50 is: 21,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,764.40 : 80,648.40 = 14,325.50 : x
  2. Step 2: Convert to fraction form
    53,764.40/80,648.40 = 14,325.50/x
  3. Step 3: Cross multiply
    53,764.40x = 80,648.40 × 14,325.50
  4. Step 4: Simplify right side
    53,764.40x = 1,155,328,654.20
  5. Step 5: Solve for x
    x = 1,155,328,654.20/53,764.40
  6. Step 6: Final answer
    x = 21,488.73

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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.