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Finding the Fourth Proportional to 52,592.49, 78,917.43 and 30,449.11

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Solution

The fourth proportional to 52,592.49, 78,917.43 and 30,449.11 is: 45,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,592.49 : 78,917.43 = 30,449.11 : x
  2. Step 2: Convert to fraction form
    52,592.49/78,917.43 = 30,449.11/x
  3. Step 3: Cross multiply
    52,592.49x = 78,917.43 × 30,449.11
  4. Step 4: Simplify right side
    52,592.49x = 2,402,965,506.99
  5. Step 5: Solve for x
    x = 2,402,965,506.99/52,592.49
  6. Step 6: Final answer
    x = 45,690.28

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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.