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Finding the Fourth Proportional to 38,877.14, 53,653.18 and 21,883

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Solution

The fourth proportional to 38,877.14, 53,653.18 and 21,883 is: 30,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,877.14 : 53,653.18 = 21,883 : x
  2. Step 2: Convert to fraction form
    38,877.14/53,653.18 = 21,883/x
  3. Step 3: Cross multiply
    38,877.14x = 53,653.18 × 21,883
  4. Step 4: Simplify right side
    38,877.14x = 1,174,092,537.94
  5. Step 5: Solve for x
    x = 1,174,092,537.94/38,877.14
  6. Step 6: Final answer
    x = 30,200.07

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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.