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Finding the Fourth Proportional to 36,978, 51,011.80 and 24,225.64

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Solution

The fourth proportional to 36,978, 51,011.80 and 24,225.64 is: 33,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978 : 51,011.80 = 24,225.64 : x
  2. Step 2: Convert to fraction form
    36,978/51,011.80 = 24,225.64/x
  3. Step 3: Cross multiply
    36,978x = 51,011.80 × 24,225.64
  4. Step 4: Simplify right side
    36,978x = 1,235,793,502.55
  5. Step 5: Solve for x
    x = 1,235,793,502.55/36,978
  6. Step 6: Final answer
    x = 33,419.70

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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.