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Finding the Fourth Proportional to 60,534, 90,786.96 and 23,080.68

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Solution

The fourth proportional to 60,534, 90,786.96 and 23,080.68 is: 34,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,534 : 90,786.96 = 23,080.68 : x
  2. Step 2: Convert to fraction form
    60,534/90,786.96 = 23,080.68/x
  3. Step 3: Cross multiply
    60,534x = 90,786.96 × 23,080.68
  4. Step 4: Simplify right side
    60,534x = 2,095,424,771.93
  5. Step 5: Solve for x
    x = 2,095,424,771.93/60,534
  6. Step 6: Final answer
    x = 34,615.67

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Why These Related Problems?

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