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Finding the Fourth Proportional to 73,838.40, 110,773.80 and 36,416.40

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Solution

The fourth proportional to 73,838.40, 110,773.80 and 36,416.40 is: 54,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,838.40 : 110,773.80 = 36,416.40 : x
  2. Step 2: Convert to fraction form
    73,838.40/110,773.80 = 36,416.40/x
  3. Step 3: Cross multiply
    73,838.40x = 110,773.80 × 36,416.40
  4. Step 4: Simplify right side
    73,838.40x = 4,033,983,010.32
  5. Step 5: Solve for x
    x = 4,033,983,010.32/73,838.40
  6. Step 6: Final answer
    x = 54,632.59

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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.