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Finding the Fourth Proportional to 56,459.70, 77,912.64 and 30,964.74

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Solution

The fourth proportional to 56,459.70, 77,912.64 and 30,964.74 is: 42,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,459.70 : 77,912.64 = 30,964.74 : x
  2. Step 2: Convert to fraction form
    56,459.70/77,912.64 = 30,964.74/x
  3. Step 3: Cross multiply
    56,459.70x = 77,912.64 × 30,964.74
  4. Step 4: Simplify right side
    56,459.70x = 2,412,544,640.31
  5. Step 5: Solve for x
    x = 2,412,544,640.31/56,459.70
  6. Step 6: Final answer
    x = 42,730.38

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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.