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Finding the Fourth Proportional to 36,643.80, 51,405 and 36,643.80

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Solution

The fourth proportional to 36,643.80, 51,405 and 36,643.80 is: 51,405

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,643.80 : 51,405 = 36,643.80 : x
  2. Step 2: Convert to fraction form
    36,643.80/51,405 = 36,643.80/x
  3. Step 3: Cross multiply
    36,643.80x = 51,405 × 36,643.80
  4. Step 4: Simplify right side
    36,643.80x = 1,883,674,539.00
  5. Step 5: Solve for x
    x = 1,883,674,539.00/36,643.80
  6. Step 6: Final answer
    x = 51,405

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.