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Finding the Fourth Proportional to 30,628.42, 45,943.56 and 8,442.16

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Solution

The fourth proportional to 30,628.42, 45,943.56 and 8,442.16 is: 12,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628.42 : 45,943.56 = 8,442.16 : x
  2. Step 2: Convert to fraction form
    30,628.42/45,943.56 = 8,442.16/x
  3. Step 3: Cross multiply
    30,628.42x = 45,943.56 × 8,442.16
  4. Step 4: Simplify right side
    30,628.42x = 387,862,884.49
  5. Step 5: Solve for x
    x = 387,862,884.49/30,628.42
  6. Step 6: Final answer
    x = 12,663.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.