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Finding the Fourth Proportional to 48,484.14, 72,726.09 and 13,423.68

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Solution

The fourth proportional to 48,484.14, 72,726.09 and 13,423.68 is: 20,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,484.14 : 72,726.09 = 13,423.68 : x
  2. Step 2: Convert to fraction form
    48,484.14/72,726.09 = 13,423.68/x
  3. Step 3: Cross multiply
    48,484.14x = 72,726.09 × 13,423.68
  4. Step 4: Simplify right side
    48,484.14x = 976,251,759.81
  5. Step 5: Solve for x
    x = 976,251,759.81/48,484.14
  6. Step 6: Final answer
    x = 20,135.49

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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.