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Finding the Fourth Proportional to 53,181.70, 79,697.28 and 29,499.64

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Solution

The fourth proportional to 53,181.70, 79,697.28 and 29,499.64 is: 44,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,181.70 : 79,697.28 = 29,499.64 : x
  2. Step 2: Convert to fraction form
    53,181.70/79,697.28 = 29,499.64/x
  3. Step 3: Cross multiply
    53,181.70x = 79,697.28 × 29,499.64
  4. Step 4: Simplify right side
    53,181.70x = 2,351,041,068.98
  5. Step 5: Solve for x
    x = 2,351,041,068.98/53,181.70
  6. Step 6: Final answer
    x = 44,207.71

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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.