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Finding the Fourth Proportional to 85,096.32, 127,652.94 and 32,550

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Solution

The fourth proportional to 85,096.32, 127,652.94 and 32,550 is: 48,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,096.32 : 127,652.94 = 32,550 : x
  2. Step 2: Convert to fraction form
    85,096.32/127,652.94 = 32,550/x
  3. Step 3: Cross multiply
    85,096.32x = 127,652.94 × 32,550
  4. Step 4: Simplify right side
    85,096.32x = 4,155,103,197
  5. Step 5: Solve for x
    x = 4,155,103,197/85,096.32
  6. Step 6: Final answer
    x = 48,828.24

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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.