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Finding the Fourth Proportional to 38,316, 57,473.94 and 12,022.76

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Solution

The fourth proportional to 38,316, 57,473.94 and 12,022.76 is: 18,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,316 : 57,473.94 = 12,022.76 : x
  2. Step 2: Convert to fraction form
    38,316/57,473.94 = 12,022.76/x
  3. Step 3: Cross multiply
    38,316x = 57,473.94 × 12,022.76
  4. Step 4: Simplify right side
    38,316x = 690,995,386.87
  5. Step 5: Solve for x
    x = 690,995,386.87/38,316
  6. Step 6: Final answer
    x = 18,034.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.