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Finding the Fourth Proportional to 55,489.48, 76,584 and 35,355.16

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Solution

The fourth proportional to 55,489.48, 76,584 and 35,355.16 is: 48,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,489.48 : 76,584 = 35,355.16 : x
  2. Step 2: Convert to fraction form
    55,489.48/76,584 = 35,355.16/x
  3. Step 3: Cross multiply
    55,489.48x = 76,584 × 35,355.16
  4. Step 4: Simplify right side
    55,489.48x = 2,707,639,573.44
  5. Step 5: Solve for x
    x = 2,707,639,573.44/55,489.48
  6. Step 6: Final answer
    x = 48,795.55

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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.