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Finding the Fourth Proportional to 56,285.88, 77,676.33 and 31,135.38

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Solution

The fourth proportional to 56,285.88, 77,676.33 and 31,135.38 is: 42,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,285.88 : 77,676.33 = 31,135.38 : x
  2. Step 2: Convert to fraction form
    56,285.88/77,676.33 = 31,135.38/x
  3. Step 3: Cross multiply
    56,285.88x = 77,676.33 × 31,135.38
  4. Step 4: Simplify right side
    56,285.88x = 2,418,482,051.56
  5. Step 5: Solve for x
    x = 2,418,482,051.56/56,285.88
  6. Step 6: Final answer
    x = 42,967.83

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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.