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Finding the Fourth Proportional to 55,915.50, 77,165.01 and 30,765

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Solution

The fourth proportional to 55,915.50, 77,165.01 and 30,765 is: 42,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,915.50 : 77,165.01 = 30,765 : x
  2. Step 2: Convert to fraction form
    55,915.50/77,165.01 = 30,765/x
  3. Step 3: Cross multiply
    55,915.50x = 77,165.01 × 30,765
  4. Step 4: Simplify right side
    55,915.50x = 2,373,981,532.65
  5. Step 5: Solve for x
    x = 2,373,981,532.65/55,915.50
  6. Step 6: Final answer
    x = 42,456.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.