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Finding the Fourth Proportional to 48,798.90, 73,212.12 and 13,738.86

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Solution

The fourth proportional to 48,798.90, 73,212.12 and 13,738.86 is: 20,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,798.90 : 73,212.12 = 13,738.86 : x
  2. Step 2: Convert to fraction form
    48,798.90/73,212.12 = 13,738.86/x
  3. Step 3: Cross multiply
    48,798.90x = 73,212.12 × 13,738.86
  4. Step 4: Simplify right side
    48,798.90x = 1,005,851,066.98
  5. Step 5: Solve for x
    x = 1,005,851,066.98/48,798.90
  6. Step 6: Final answer
    x = 20,612.17

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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.