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Finding the Fourth Proportional to 38,709.30, 53,423.01 and 21,940.50

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Solution

The fourth proportional to 38,709.30, 53,423.01 and 21,940.50 is: 30,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709.30 : 53,423.01 = 21,940.50 : x
  2. Step 2: Convert to fraction form
    38,709.30/53,423.01 = 21,940.50/x
  3. Step 3: Cross multiply
    38,709.30x = 53,423.01 × 21,940.50
  4. Step 4: Simplify right side
    38,709.30x = 1,172,127,550.91
  5. Step 5: Solve for x
    x = 1,172,127,550.91/38,709.30
  6. Step 6: Final answer
    x = 30,280.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.