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Finding the Fourth Proportional to 38,395, 57,585.82 and 10,316.96

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Solution

The fourth proportional to 38,395, 57,585.82 and 10,316.96 is: 15,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,395 : 57,585.82 = 10,316.96 : x
  2. Step 2: Convert to fraction form
    38,395/57,585.82 = 10,316.96/x
  3. Step 3: Cross multiply
    38,395x = 57,585.82 × 10,316.96
  4. Step 4: Simplify right side
    38,395x = 594,110,601.51
  5. Step 5: Solve for x
    x = 594,110,601.51/38,395
  6. Step 6: Final answer
    x = 15,473.65

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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.