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Finding the Fourth Proportional to 45,416.40, 68,051.70 and 29,815.80

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Solution

The fourth proportional to 45,416.40, 68,051.70 and 29,815.80 is: 44,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,416.40 : 68,051.70 = 29,815.80 : x
  2. Step 2: Convert to fraction form
    45,416.40/68,051.70 = 29,815.80/x
  3. Step 3: Cross multiply
    45,416.40x = 68,051.70 × 29,815.80
  4. Step 4: Simplify right side
    45,416.40x = 2,029,015,876.86
  5. Step 5: Solve for x
    x = 2,029,015,876.86/45,416.40
  6. Step 6: Final answer
    x = 44,675.84

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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.