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Finding the Fourth Proportional to 35,978.65, 53,961.90 and 9,677.54

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Solution

The fourth proportional to 35,978.65, 53,961.90 and 9,677.54 is: 14,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.65 : 53,961.90 = 9,677.54 : x
  2. Step 2: Convert to fraction form
    35,978.65/53,961.90 = 9,677.54/x
  3. Step 3: Cross multiply
    35,978.65x = 53,961.90 × 9,677.54
  4. Step 4: Simplify right side
    35,978.65x = 522,218,544.34
  5. Step 5: Solve for x
    x = 522,218,544.34/35,978.65
  6. Step 6: Final answer
    x = 14,514.68

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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.