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Finding the Fourth Proportional to 71,096.64, 106,656.48 and 36,022.08

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Solution

The fourth proportional to 71,096.64, 106,656.48 and 36,022.08 is: 54,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,096.64 : 106,656.48 = 36,022.08 : x
  2. Step 2: Convert to fraction form
    71,096.64/106,656.48 = 36,022.08/x
  3. Step 3: Cross multiply
    71,096.64x = 106,656.48 × 36,022.08
  4. Step 4: Simplify right side
    71,096.64x = 3,841,988,255.08
  5. Step 5: Solve for x
    x = 3,841,988,255.08/71,096.64
  6. Step 6: Final answer
    x = 54,038.96

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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.