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Finding the Fourth Proportional to 38,298.93, 52,857.42 and 23,191.62

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Solution

The fourth proportional to 38,298.93, 52,857.42 and 23,191.62 is: 32,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298.93 : 52,857.42 = 23,191.62 : x
  2. Step 2: Convert to fraction form
    38,298.93/52,857.42 = 23,191.62/x
  3. Step 3: Cross multiply
    38,298.93x = 52,857.42 × 23,191.62
  4. Step 4: Simplify right side
    38,298.93x = 1,225,849,198.82
  5. Step 5: Solve for x
    x = 1,225,849,198.82/38,298.93
  6. Step 6: Final answer
    x = 32,007.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.