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Finding the Fourth Proportional to 55,432.56, 76,497.16 and 30,282

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Solution

The fourth proportional to 55,432.56, 76,497.16 and 30,282 is: 41,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,432.56 : 76,497.16 = 30,282 : x
  2. Step 2: Convert to fraction form
    55,432.56/76,497.16 = 30,282/x
  3. Step 3: Cross multiply
    55,432.56x = 76,497.16 × 30,282
  4. Step 4: Simplify right side
    55,432.56x = 2,316,486,999.12
  5. Step 5: Solve for x
    x = 2,316,486,999.12/55,432.56
  6. Step 6: Final answer
    x = 41,789.28

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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.