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Finding the Fourth Proportional to 55,430.56, 76,494.40 and 30,280

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Solution

The fourth proportional to 55,430.56, 76,494.40 and 30,280 is: 41,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,430.56 : 76,494.40 = 30,280 : x
  2. Step 2: Convert to fraction form
    55,430.56/76,494.40 = 30,280/x
  3. Step 3: Cross multiply
    55,430.56x = 76,494.40 × 30,280
  4. Step 4: Simplify right side
    55,430.56x = 2,316,250,432
  5. Step 5: Solve for x
    x = 2,316,250,432/55,430.56
  6. Step 6: Final answer
    x = 41,786.52

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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.