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Finding the Fourth Proportional to 57,184, 78,941.28 and 38,095.75

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Solution

The fourth proportional to 57,184, 78,941.28 and 38,095.75 is: 52,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,184 : 78,941.28 = 38,095.75 : x
  2. Step 2: Convert to fraction form
    57,184/78,941.28 = 38,095.75/x
  3. Step 3: Cross multiply
    57,184x = 78,941.28 × 38,095.75
  4. Step 4: Simplify right side
    57,184x = 3,007,327,267.56
  5. Step 5: Solve for x
    x = 3,007,327,267.56/57,184
  6. Step 6: Final answer
    x = 52,590.36

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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.