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Finding the Fourth Proportional to 56,165.28, 77,508.12 and 30,672

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Solution

The fourth proportional to 56,165.28, 77,508.12 and 30,672 is: 42,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,165.28 : 77,508.12 = 30,672 : x
  2. Step 2: Convert to fraction form
    56,165.28/77,508.12 = 30,672/x
  3. Step 3: Cross multiply
    56,165.28x = 77,508.12 × 30,672
  4. Step 4: Simplify right side
    56,165.28x = 2,377,329,056.64
  5. Step 5: Solve for x
    x = 2,377,329,056.64/56,165.28
  6. Step 6: Final answer
    x = 42,327.38

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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.