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Finding the Fourth Proportional to 48,498.45, 72,748.82 and 13,438.41

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Solution

The fourth proportional to 48,498.45, 72,748.82 and 13,438.41 is: 20,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,498.45 : 72,748.82 = 13,438.41 : x
  2. Step 2: Convert to fraction form
    48,498.45/72,748.82 = 13,438.41/x
  3. Step 3: Cross multiply
    48,498.45x = 72,748.82 × 13,438.41
  4. Step 4: Simplify right side
    48,498.45x = 977,628,470.18
  5. Step 5: Solve for x
    x = 977,628,470.18/48,498.45
  6. Step 6: Final answer
    x = 20,157.93

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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.