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Finding the Fourth Proportional to 93,642.54, 140,460.09 and 51,605.97

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Solution

The fourth proportional to 93,642.54, 140,460.09 and 51,605.97 is: 77,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,642.54 : 140,460.09 = 51,605.97 : x
  2. Step 2: Convert to fraction form
    93,642.54/140,460.09 = 51,605.97/x
  3. Step 3: Cross multiply
    93,642.54x = 140,460.09 × 51,605.97
  4. Step 4: Simplify right side
    93,642.54x = 7,248,579,190.74
  5. Step 5: Solve for x
    x = 7,248,579,190.74/93,642.54
  6. Step 6: Final answer
    x = 77,406.90

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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.