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Finding the Fourth Proportional to 93,954.78, 140,945.16 and 30,779.88

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Solution

The fourth proportional to 93,954.78, 140,945.16 and 30,779.88 is: 46,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,954.78 : 140,945.16 = 30,779.88 : x
  2. Step 2: Convert to fraction form
    93,954.78/140,945.16 = 30,779.88/x
  3. Step 3: Cross multiply
    93,954.78x = 140,945.16 × 30,779.88
  4. Step 4: Simplify right side
    93,954.78x = 4,338,275,226.81
  5. Step 5: Solve for x
    x = 4,338,275,226.81/93,954.78
  6. Step 6: Final answer
    x = 46,174.07

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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.