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Finding the Fourth Proportional to 38,685.84, 53,416.56 and 29,719.20

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Solution

The fourth proportional to 38,685.84, 53,416.56 and 29,719.20 is: 41,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,685.84 : 53,416.56 = 29,719.20 : x
  2. Step 2: Convert to fraction form
    38,685.84/53,416.56 = 29,719.20/x
  3. Step 3: Cross multiply
    38,685.84x = 53,416.56 × 29,719.20
  4. Step 4: Simplify right side
    38,685.84x = 1,587,497,429.95
  5. Step 5: Solve for x
    x = 1,587,497,429.95/38,685.84
  6. Step 6: Final answer
    x = 41,035.62

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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.