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Finding the Fourth Proportional to 36,543.54, 50,430.12 and 19,776.54

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Solution

The fourth proportional to 36,543.54, 50,430.12 and 19,776.54 is: 27,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,543.54 : 50,430.12 = 19,776.54 : x
  2. Step 2: Convert to fraction form
    36,543.54/50,430.12 = 19,776.54/x
  3. Step 3: Cross multiply
    36,543.54x = 50,430.12 × 19,776.54
  4. Step 4: Simplify right side
    36,543.54x = 997,333,285.38
  5. Step 5: Solve for x
    x = 997,333,285.38/36,543.54
  6. Step 6: Final answer
    x = 27,291.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.