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Finding the Fourth Proportional to 50,743.16, 70,024.12 and 28,083.10

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Solution

The fourth proportional to 50,743.16, 70,024.12 and 28,083.10 is: 38,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,743.16 : 70,024.12 = 28,083.10 : x
  2. Step 2: Convert to fraction form
    50,743.16/70,024.12 = 28,083.10/x
  3. Step 3: Cross multiply
    50,743.16x = 70,024.12 × 28,083.10
  4. Step 4: Simplify right side
    50,743.16x = 1,966,494,364.37
  5. Step 5: Solve for x
    x = 1,966,494,364.37/50,743.16
  6. Step 6: Final answer
    x = 38,753.88

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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.