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Finding the Fourth Proportional to 58,735.56, 88,256.16 and 54,896.16

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Solution

The fourth proportional to 58,735.56, 88,256.16 and 54,896.16 is: 82,487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,735.56 : 88,256.16 = 54,896.16 : x
  2. Step 2: Convert to fraction form
    58,735.56/88,256.16 = 54,896.16/x
  3. Step 3: Cross multiply
    58,735.56x = 88,256.16 × 54,896.16
  4. Step 4: Simplify right side
    58,735.56x = 4,844,924,280.35
  5. Step 5: Solve for x
    x = 4,844,924,280.35/58,735.56
  6. Step 6: Final answer
    x = 82,487.07

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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.