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Finding the Fourth Proportional to 76,807.72, 105,996.90 and 44,973.64

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Solution

The fourth proportional to 76,807.72, 105,996.90 and 44,973.64 is: 62,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807.72 : 105,996.90 = 44,973.64 : x
  2. Step 2: Convert to fraction form
    76,807.72/105,996.90 = 44,973.64/x
  3. Step 3: Cross multiply
    76,807.72x = 105,996.90 × 44,973.64
  4. Step 4: Simplify right side
    76,807.72x = 4,767,066,421.72
  5. Step 5: Solve for x
    x = 4,767,066,421.72/76,807.72
  6. Step 6: Final answer
    x = 62,064.94

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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.