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Finding the Fourth Proportional to 85,466.34, 128,160.53 and 35,516.68

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Solution

The fourth proportional to 85,466.34, 128,160.53 and 35,516.68 is: 53,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,466.34 : 128,160.53 = 35,516.68 : x
  2. Step 2: Convert to fraction form
    85,466.34/128,160.53 = 35,516.68/x
  3. Step 3: Cross multiply
    85,466.34x = 128,160.53 × 35,516.68
  4. Step 4: Simplify right side
    85,466.34x = 4,551,836,167.84
  5. Step 5: Solve for x
    x = 4,551,836,167.84/85,466.34
  6. Step 6: Final answer
    x = 53,258.82

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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.