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Finding the Fourth Proportional to 38,176.92, 52,681.50 and 21,180.48

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Solution

The fourth proportional to 38,176.92, 52,681.50 and 21,180.48 is: 29,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176.92 : 52,681.50 = 21,180.48 : x
  2. Step 2: Convert to fraction form
    38,176.92/52,681.50 = 21,180.48/x
  3. Step 3: Cross multiply
    38,176.92x = 52,681.50 × 21,180.48
  4. Step 4: Simplify right side
    38,176.92x = 1,115,819,457.12
  5. Step 5: Solve for x
    x = 1,115,819,457.12/38,176.92
  6. Step 6: Final answer
    x = 29,227.59

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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.