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Finding the Fourth Proportional to 52,703.64, 79,039.20 and 27,730.14

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Solution

The fourth proportional to 52,703.64, 79,039.20 and 27,730.14 is: 41,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,703.64 : 79,039.20 = 27,730.14 : x
  2. Step 2: Convert to fraction form
    52,703.64/79,039.20 = 27,730.14/x
  3. Step 3: Cross multiply
    52,703.64x = 79,039.20 × 27,730.14
  4. Step 4: Simplify right side
    52,703.64x = 2,191,768,081.49
  5. Step 5: Solve for x
    x = 2,191,768,081.49/52,703.64
  6. Step 6: Final answer
    x = 41,586.65

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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.