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Finding the Fourth Proportional to 48,498.15, 72,748.44 and 13,438.11

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Solution

The fourth proportional to 48,498.15, 72,748.44 and 13,438.11 is: 20,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,498.15 : 72,748.44 = 13,438.11 : x
  2. Step 2: Convert to fraction form
    48,498.15/72,748.44 = 13,438.11/x
  3. Step 3: Cross multiply
    48,498.15x = 72,748.44 × 13,438.11
  4. Step 4: Simplify right side
    48,498.15x = 977,601,539.05
  5. Step 5: Solve for x
    x = 977,601,539.05/48,498.15
  6. Step 6: Final answer
    x = 20,157.50

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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.