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Finding the Fourth Proportional to 57,051.56, 85,506.06 and 27,461.54

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Solution

The fourth proportional to 57,051.56, 85,506.06 and 27,461.54 is: 41,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,051.56 : 85,506.06 = 27,461.54 : x
  2. Step 2: Convert to fraction form
    57,051.56/85,506.06 = 27,461.54/x
  3. Step 3: Cross multiply
    57,051.56x = 85,506.06 × 27,461.54
  4. Step 4: Simplify right side
    57,051.56x = 2,348,128,086.93
  5. Step 5: Solve for x
    x = 2,348,128,086.93/57,051.56
  6. Step 6: Final answer
    x = 41,158.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.