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Finding the Fourth Proportional to 36,702.50, 55,056.50 and 10,409.36

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Solution

The fourth proportional to 36,702.50, 55,056.50 and 10,409.36 is: 15,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,702.50 : 55,056.50 = 10,409.36 : x
  2. Step 2: Convert to fraction form
    36,702.50/55,056.50 = 10,409.36/x
  3. Step 3: Cross multiply
    36,702.50x = 55,056.50 × 10,409.36
  4. Step 4: Simplify right side
    36,702.50x = 573,102,928.84
  5. Step 5: Solve for x
    x = 573,102,928.84/36,702.50
  6. Step 6: Final answer
    x = 15,614.82

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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.