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Finding the Fourth Proportional to 50,433.42, 69,598.08 and 28,077.42

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Solution

The fourth proportional to 50,433.42, 69,598.08 and 28,077.42 is: 38,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,433.42 : 69,598.08 = 28,077.42 : x
  2. Step 2: Convert to fraction form
    50,433.42/69,598.08 = 28,077.42/x
  3. Step 3: Cross multiply
    50,433.42x = 69,598.08 × 28,077.42
  4. Step 4: Simplify right side
    50,433.42x = 1,954,134,523.35
  5. Step 5: Solve for x
    x = 1,954,134,523.35/50,433.42
  6. Step 6: Final answer
    x = 38,746.82

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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.