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Finding the Fourth Proportional to 50,742.79, 70,023.32 and 28,082.74

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Solution

The fourth proportional to 50,742.79, 70,023.32 and 28,082.74 is: 38,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,742.79 : 70,023.32 = 28,082.74 : x
  2. Step 2: Convert to fraction form
    50,742.79/70,023.32 = 28,082.74/x
  3. Step 3: Cross multiply
    50,742.79x = 70,023.32 × 28,082.74
  4. Step 4: Simplify right side
    50,742.79x = 1,966,446,374.02
  5. Step 5: Solve for x
    x = 1,966,446,374.02/50,742.79
  6. Step 6: Final answer
    x = 38,753.22

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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.