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Finding the Fourth Proportional to 67,055.50, 100,430.16 and 32,019.76

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Solution

The fourth proportional to 67,055.50, 100,430.16 and 32,019.76 is: 47,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,055.50 : 100,430.16 = 32,019.76 : x
  2. Step 2: Convert to fraction form
    67,055.50/100,430.16 = 32,019.76/x
  3. Step 3: Cross multiply
    67,055.50x = 100,430.16 × 32,019.76
  4. Step 4: Simplify right side
    67,055.50x = 3,215,749,619.96
  5. Step 5: Solve for x
    x = 3,215,749,619.96/67,055.50
  6. Step 6: Final answer
    x = 47,956.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.