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Finding the Fourth Proportional to 93,777.27, 140,636.53 and 27,222

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Solution

The fourth proportional to 93,777.27, 140,636.53 and 27,222 is: 40,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,777.27 : 140,636.53 = 27,222 : x
  2. Step 2: Convert to fraction form
    93,777.27/140,636.53 = 27,222/x
  3. Step 3: Cross multiply
    93,777.27x = 140,636.53 × 27,222
  4. Step 4: Simplify right side
    93,777.27x = 3,828,407,619.66
  5. Step 5: Solve for x
    x = 3,828,407,619.66/93,777.27
  6. Step 6: Final answer
    x = 40,824.47

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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.