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Finding the Fourth Proportional to 38,797.16, 53,537.70 and 22,882.28

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Solution

The fourth proportional to 38,797.16, 53,537.70 and 22,882.28 is: 31,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,797.16 : 53,537.70 = 22,882.28 : x
  2. Step 2: Convert to fraction form
    38,797.16/53,537.70 = 22,882.28/x
  3. Step 3: Cross multiply
    38,797.16x = 53,537.70 × 22,882.28
  4. Step 4: Simplify right side
    38,797.16x = 1,225,064,641.96
  5. Step 5: Solve for x
    x = 1,225,064,641.96/38,797.16
  6. Step 6: Final answer
    x = 31,576.14

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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.