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Finding the Fourth Proportional to 38,605.70, 53,281.49 and 23,507.19

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Solution

The fourth proportional to 38,605.70, 53,281.49 and 23,507.19 is: 32,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,605.70 : 53,281.49 = 23,507.19 : x
  2. Step 2: Convert to fraction form
    38,605.70/53,281.49 = 23,507.19/x
  3. Step 3: Cross multiply
    38,605.70x = 53,281.49 × 23,507.19
  4. Step 4: Simplify right side
    38,605.70x = 1,252,497,991.38
  5. Step 5: Solve for x
    x = 1,252,497,991.38/38,605.70
  6. Step 6: Final answer
    x = 32,443.35

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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.