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Finding the Fourth Proportional to 38,699.10, 53,399.67 and 22,780.38

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Solution

The fourth proportional to 38,699.10, 53,399.67 and 22,780.38 is: 31,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,699.10 : 53,399.67 = 22,780.38 : x
  2. Step 2: Convert to fraction form
    38,699.10/53,399.67 = 22,780.38/x
  3. Step 3: Cross multiply
    38,699.10x = 53,399.67 × 22,780.38
  4. Step 4: Simplify right side
    38,699.10x = 1,216,464,774.47
  5. Step 5: Solve for x
    x = 1,216,464,774.47/38,699.10
  6. Step 6: Final answer
    x = 31,433.93

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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.