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Finding the Fourth Proportional to 38,897.48, 53,678.22 and 21,901.75

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Solution

The fourth proportional to 38,897.48, 53,678.22 and 21,901.75 is: 30,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,897.48 : 53,678.22 = 21,901.75 : x
  2. Step 2: Convert to fraction form
    38,897.48/53,678.22 = 21,901.75/x
  3. Step 3: Cross multiply
    38,897.48x = 53,678.22 × 21,901.75
  4. Step 4: Simplify right side
    38,897.48x = 1,175,646,954.89
  5. Step 5: Solve for x
    x = 1,175,646,954.89/38,897.48
  6. Step 6: Final answer
    x = 30,224.24

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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.