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Finding the Fourth Proportional to 56,165.70, 77,507.42 and 30,671.06

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Solution

The fourth proportional to 56,165.70, 77,507.42 and 30,671.06 is: 42,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,165.70 : 77,507.42 = 30,671.06 : x
  2. Step 2: Convert to fraction form
    56,165.70/77,507.42 = 30,671.06/x
  3. Step 3: Cross multiply
    56,165.70x = 77,507.42 × 30,671.06
  4. Step 4: Simplify right side
    56,165.70x = 2,377,234,729.27
  5. Step 5: Solve for x
    x = 2,377,234,729.27/56,165.70
  6. Step 6: Final answer
    x = 42,325.38

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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.