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Finding the Fourth Proportional to 52,296.84, 78,411.97 and 24,179.31

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Solution

The fourth proportional to 52,296.84, 78,411.97 and 24,179.31 is: 36,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,296.84 : 78,411.97 = 24,179.31 : x
  2. Step 2: Convert to fraction form
    52,296.84/78,411.97 = 24,179.31/x
  3. Step 3: Cross multiply
    52,296.84x = 78,411.97 × 24,179.31
  4. Step 4: Simplify right side
    52,296.84x = 1,895,947,330.34
  5. Step 5: Solve for x
    x = 1,895,947,330.34/52,296.84
  6. Step 6: Final answer
    x = 36,253.57

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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.