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Finding the Fourth Proportional to 38,923.50, 53,714.49 and 22,156.50

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Solution

The fourth proportional to 38,923.50, 53,714.49 and 22,156.50 is: 30,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,923.50 : 53,714.49 = 22,156.50 : x
  2. Step 2: Convert to fraction form
    38,923.50/53,714.49 = 22,156.50/x
  3. Step 3: Cross multiply
    38,923.50x = 53,714.49 × 22,156.50
  4. Step 4: Simplify right side
    38,923.50x = 1,190,125,097.69
  5. Step 5: Solve for x
    x = 1,190,125,097.69/38,923.50
  6. Step 6: Final answer
    x = 30,576.00

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