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Finding the Fourth Proportional to 56,463.44, 77,923.10 and 31,312.94

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Solution

The fourth proportional to 56,463.44, 77,923.10 and 31,312.94 is: 43,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,463.44 : 77,923.10 = 31,312.94 : x
  2. Step 2: Convert to fraction form
    56,463.44/77,923.10 = 31,312.94/x
  3. Step 3: Cross multiply
    56,463.44x = 77,923.10 × 31,312.94
  4. Step 4: Simplify right side
    56,463.44x = 2,440,001,198.35
  5. Step 5: Solve for x
    x = 2,440,001,198.35/56,463.44
  6. Step 6: Final answer
    x = 43,213.82

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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.