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Finding the Fourth Proportional to 48,205.86, 72,305.14 and 14,926.20

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Solution

The fourth proportional to 48,205.86, 72,305.14 and 14,926.20 is: 22,388.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205.86 : 72,305.14 = 14,926.20 : x
  2. Step 2: Convert to fraction form
    48,205.86/72,305.14 = 14,926.20/x
  3. Step 3: Cross multiply
    48,205.86x = 72,305.14 × 14,926.20
  4. Step 4: Simplify right side
    48,205.86x = 1,079,240,980.67
  5. Step 5: Solve for x
    x = 1,079,240,980.67/48,205.86
  6. Step 6: Final answer
    x = 22,388.17

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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.