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Finding the Fourth Proportional to 70,106.58, 96,749.37 and 38,277.90

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Solution

The fourth proportional to 70,106.58, 96,749.37 and 38,277.90 is: 52,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,106.58 : 96,749.37 = 38,277.90 : x
  2. Step 2: Convert to fraction form
    70,106.58/96,749.37 = 38,277.90/x
  3. Step 3: Cross multiply
    70,106.58x = 96,749.37 × 38,277.90
  4. Step 4: Simplify right side
    70,106.58x = 3,703,362,709.92
  5. Step 5: Solve for x
    x = 3,703,362,709.92/70,106.58
  6. Step 6: Final answer
    x = 52,824.75

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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.