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Finding the Fourth Proportional to 50,784.51, 70,082.82 and 28,123.01

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Solution

The fourth proportional to 50,784.51, 70,082.82 and 28,123.01 is: 38,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,784.51 : 70,082.82 = 28,123.01 : x
  2. Step 2: Convert to fraction form
    50,784.51/70,082.82 = 28,123.01/x
  3. Step 3: Cross multiply
    50,784.51x = 70,082.82 × 28,123.01
  4. Step 4: Simplify right side
    50,784.51x = 1,970,939,497.27
  5. Step 5: Solve for x
    x = 1,970,939,497.27/50,784.51
  6. Step 6: Final answer
    x = 38,809.86

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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.