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Finding the Fourth Proportional to 70,829.64, 97,746.14 and 38,997.86

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Solution

The fourth proportional to 70,829.64, 97,746.14 and 38,997.86 is: 53,817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,829.64 : 97,746.14 = 38,997.86 : x
  2. Step 2: Convert to fraction form
    70,829.64/97,746.14 = 38,997.86/x
  3. Step 3: Cross multiply
    70,829.64x = 97,746.14 × 38,997.86
  4. Step 4: Simplify right side
    70,829.64x = 3,811,889,892.02
  5. Step 5: Solve for x
    x = 3,811,889,892.02/70,829.64
  6. Step 6: Final answer
    x = 53,817.72

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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.