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Finding the Fourth Proportional to 38,547.68, 57,782.14 and 21,872.49

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Solution

The fourth proportional to 38,547.68, 57,782.14 and 21,872.49 is: 32,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,547.68 : 57,782.14 = 21,872.49 : x
  2. Step 2: Convert to fraction form
    38,547.68/57,782.14 = 21,872.49/x
  3. Step 3: Cross multiply
    38,547.68x = 57,782.14 × 21,872.49
  4. Step 4: Simplify right side
    38,547.68x = 1,263,838,881.06
  5. Step 5: Solve for x
    x = 1,263,838,881.06/38,547.68
  6. Step 6: Final answer
    x = 32,786.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.