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Finding the Fourth Proportional to 56,429.96, 77,874.21 and 30,938.76

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Solution

The fourth proportional to 56,429.96, 77,874.21 and 30,938.76 is: 42,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,429.96 : 77,874.21 = 30,938.76 : x
  2. Step 2: Convert to fraction form
    56,429.96/77,874.21 = 30,938.76/x
  3. Step 3: Cross multiply
    56,429.96x = 77,874.21 × 30,938.76
  4. Step 4: Simplify right side
    56,429.96x = 2,409,331,493.38
  5. Step 5: Solve for x
    x = 2,409,331,493.38/56,429.96
  6. Step 6: Final answer
    x = 42,695.97

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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.