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Finding the Fourth Proportional to 70,099.60, 96,739.74 and 38,270.20

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Solution

The fourth proportional to 70,099.60, 96,739.74 and 38,270.20 is: 52,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,099.60 : 96,739.74 = 38,270.20 : x
  2. Step 2: Convert to fraction form
    70,099.60/96,739.74 = 38,270.20/x
  3. Step 3: Cross multiply
    70,099.60x = 96,739.74 × 38,270.20
  4. Step 4: Simplify right side
    70,099.60x = 3,702,249,197.75
  5. Step 5: Solve for x
    x = 3,702,249,197.75/70,099.60
  6. Step 6: Final answer
    x = 52,814.13

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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.