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Finding the Fourth Proportional to 85,886.56, 118,524.36 and 48,160

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Solution

The fourth proportional to 85,886.56, 118,524.36 and 48,160 is: 66,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,886.56 : 118,524.36 = 48,160 : x
  2. Step 2: Convert to fraction form
    85,886.56/118,524.36 = 48,160/x
  3. Step 3: Cross multiply
    85,886.56x = 118,524.36 × 48,160
  4. Step 4: Simplify right side
    85,886.56x = 5,708,133,177.60
  5. Step 5: Solve for x
    x = 5,708,133,177.60/85,886.56
  6. Step 6: Final answer
    x = 66,461.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.