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Finding the Fourth Proportional to 52,114.66, 71,917.74 and 28,241.53

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Solution

The fourth proportional to 52,114.66, 71,917.74 and 28,241.53 is: 38,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114.66 : 71,917.74 = 28,241.53 : x
  2. Step 2: Convert to fraction form
    52,114.66/71,917.74 = 28,241.53/x
  3. Step 3: Cross multiply
    52,114.66x = 71,917.74 × 28,241.53
  4. Step 4: Simplify right side
    52,114.66x = 2,031,066,831.95
  5. Step 5: Solve for x
    x = 2,031,066,831.95/52,114.66
  6. Step 6: Final answer
    x = 38,973.04

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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.