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Finding the Fourth Proportional to 38,781.72, 53,512.95 and 21,782.71

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Solution

The fourth proportional to 38,781.72, 53,512.95 and 21,782.71 is: 30,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781.72 : 53,512.95 = 21,782.71 : x
  2. Step 2: Convert to fraction form
    38,781.72/53,512.95 = 21,782.71/x
  3. Step 3: Cross multiply
    38,781.72x = 53,512.95 × 21,782.71
  4. Step 4: Simplify right side
    38,781.72x = 1,165,657,071.09
  5. Step 5: Solve for x
    x = 1,165,657,071.09/38,781.72
  6. Step 6: Final answer
    x = 30,056.87

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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.