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Finding the Fourth Proportional to 71,004.64, 97,984.56 and 39,172

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Solution

The fourth proportional to 71,004.64, 97,984.56 and 39,172 is: 54,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,004.64 : 97,984.56 = 39,172 : x
  2. Step 2: Convert to fraction form
    71,004.64/97,984.56 = 39,172/x
  3. Step 3: Cross multiply
    71,004.64x = 97,984.56 × 39,172
  4. Step 4: Simplify right side
    71,004.64x = 3,838,251,184.32
  5. Step 5: Solve for x
    x = 3,838,251,184.32/71,004.64
  6. Step 6: Final answer
    x = 54,056.34

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