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Finding the Fourth Proportional to 48,182.80, 72,284.82 and 14,447.47

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Solution

The fourth proportional to 48,182.80, 72,284.82 and 14,447.47 is: 21,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,182.80 : 72,284.82 = 14,447.47 : x
  2. Step 2: Convert to fraction form
    48,182.80/72,284.82 = 14,447.47/x
  3. Step 3: Cross multiply
    48,182.80x = 72,284.82 × 14,447.47
  4. Step 4: Simplify right side
    48,182.80x = 1,044,332,768.41
  5. Step 5: Solve for x
    x = 1,044,332,768.41/48,182.80
  6. Step 6: Final answer
    x = 21,674.39

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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.