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Finding the Fourth Proportional to 38,646, 57,985.68 and 20,873.13

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Solution

The fourth proportional to 38,646, 57,985.68 and 20,873.13 is: 31,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646 : 57,985.68 = 20,873.13 : x
  2. Step 2: Convert to fraction form
    38,646/57,985.68 = 20,873.13/x
  3. Step 3: Cross multiply
    38,646x = 57,985.68 × 20,873.13
  4. Step 4: Simplify right side
    38,646x = 1,210,342,636.78
  5. Step 5: Solve for x
    x = 1,210,342,636.78/38,646
  6. Step 6: Final answer
    x = 31,318.70

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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.