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Finding the Fourth Proportional to 52,385.80, 78,586.03 and 16,835.17

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Solution

The fourth proportional to 52,385.80, 78,586.03 and 16,835.17 is: 25,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,385.80 : 78,586.03 = 16,835.17 : x
  2. Step 2: Convert to fraction form
    52,385.80/78,586.03 = 16,835.17/x
  3. Step 3: Cross multiply
    52,385.80x = 78,586.03 × 16,835.17
  4. Step 4: Simplify right side
    52,385.80x = 1,323,009,174.68
  5. Step 5: Solve for x
    x = 1,323,009,174.68/52,385.80
  6. Step 6: Final answer
    x = 25,255.11

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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.