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Finding the Fourth Proportional to 38,685.76, 53,386.32 and 21,918.76

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Solution

The fourth proportional to 38,685.76, 53,386.32 and 21,918.76 is: 30,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,685.76 : 53,386.32 = 21,918.76 : x
  2. Step 2: Convert to fraction form
    38,685.76/53,386.32 = 21,918.76/x
  3. Step 3: Cross multiply
    38,685.76x = 53,386.32 × 21,918.76
  4. Step 4: Simplify right side
    38,685.76x = 1,170,161,935.36
  5. Step 5: Solve for x
    x = 1,170,161,935.36/38,685.76
  6. Step 6: Final answer
    x = 30,247.87

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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.