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Finding the Fourth Proportional to 76,798.72, 105,984.48 and 44,964.64

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Solution

The fourth proportional to 76,798.72, 105,984.48 and 44,964.64 is: 62,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,798.72 : 105,984.48 = 44,964.64 : x
  2. Step 2: Convert to fraction form
    76,798.72/105,984.48 = 44,964.64/x
  3. Step 3: Cross multiply
    76,798.72x = 105,984.48 × 44,964.64
  4. Step 4: Simplify right side
    76,798.72x = 4,765,553,988.79
  5. Step 5: Solve for x
    x = 4,765,553,988.79/76,798.72
  6. Step 6: Final answer
    x = 62,052.52

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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.