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Finding the Fourth Proportional to 70,031.64, 96,644.28 and 38,200.68

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Solution

The fourth proportional to 70,031.64, 96,644.28 and 38,200.68 is: 52,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031.64 : 96,644.28 = 38,200.68 : x
  2. Step 2: Convert to fraction form
    70,031.64/96,644.28 = 38,200.68/x
  3. Step 3: Cross multiply
    70,031.64x = 96,644.28 × 38,200.68
  4. Step 4: Simplify right side
    70,031.64x = 3,691,877,214.11
  5. Step 5: Solve for x
    x = 3,691,877,214.11/70,031.64
  6. Step 6: Final answer
    x = 52,717.27

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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.