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Finding the Fourth Proportional to 55,234.30, 77,431.70 and 55,234.30

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Solution

The fourth proportional to 55,234.30, 77,431.70 and 55,234.30 is: 77,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,234.30 : 77,431.70 = 55,234.30 : x
  2. Step 2: Convert to fraction form
    55,234.30/77,431.70 = 55,234.30/x
  3. Step 3: Cross multiply
    55,234.30x = 77,431.70 × 55,234.30
  4. Step 4: Simplify right side
    55,234.30x = 4,276,885,747.31
  5. Step 5: Solve for x
    x = 4,276,885,747.31/55,234.30
  6. Step 6: Final answer
    x = 77,431.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.