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Finding the Fourth Proportional to 55,872.51, 77,097.60 and 31,997.76

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Solution

The fourth proportional to 55,872.51, 77,097.60 and 31,997.76 is: 44,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,872.51 : 77,097.60 = 31,997.76 : x
  2. Step 2: Convert to fraction form
    55,872.51/77,097.60 = 31,997.76/x
  3. Step 3: Cross multiply
    55,872.51x = 77,097.60 × 31,997.76
  4. Step 4: Simplify right side
    55,872.51x = 2,466,950,501.38
  5. Step 5: Solve for x
    x = 2,466,950,501.38/55,872.51
  6. Step 6: Final answer
    x = 44,153.21

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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.