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Finding the Fourth Proportional to 52,363.80, 78,533.82 and 14,923.17

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Solution

The fourth proportional to 52,363.80, 78,533.82 and 14,923.17 is: 22,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,363.80 : 78,533.82 = 14,923.17 : x
  2. Step 2: Convert to fraction form
    52,363.80/78,533.82 = 14,923.17/x
  3. Step 3: Cross multiply
    52,363.80x = 78,533.82 × 14,923.17
  4. Step 4: Simplify right side
    52,363.80x = 1,171,973,546.61
  5. Step 5: Solve for x
    x = 1,171,973,546.61/52,363.80
  6. Step 6: Final answer
    x = 22,381.37

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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.