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Finding the Fourth Proportional to 48,798.98, 73,199.69 and 13,738.40

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Solution

The fourth proportional to 48,798.98, 73,199.69 and 13,738.40 is: 20,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,798.98 : 73,199.69 = 13,738.40 : x
  2. Step 2: Convert to fraction form
    48,798.98/73,199.69 = 13,738.40/x
  3. Step 3: Cross multiply
    48,798.98x = 73,199.69 × 13,738.40
  4. Step 4: Simplify right side
    48,798.98x = 1,005,646,769.75
  5. Step 5: Solve for x
    x = 1,005,646,769.75/48,798.98
  6. Step 6: Final answer
    x = 20,607.95

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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.