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Finding the Fourth Proportional to 70,508.12, 97,302.56 and 38,675.12

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Solution

The fourth proportional to 70,508.12, 97,302.56 and 38,675.12 is: 53,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,508.12 : 97,302.56 = 38,675.12 : x
  2. Step 2: Convert to fraction form
    70,508.12/97,302.56 = 38,675.12/x
  3. Step 3: Cross multiply
    70,508.12x = 97,302.56 × 38,675.12
  4. Step 4: Simplify right side
    70,508.12x = 3,763,188,184.31
  5. Step 5: Solve for x
    x = 3,763,188,184.31/70,508.12
  6. Step 6: Final answer
    x = 53,372.41

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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.