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Finding the Fourth Proportional to 52,825.46, 72,889.89 and 30,154.10

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Solution

The fourth proportional to 52,825.46, 72,889.89 and 30,154.10 is: 41,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,825.46 : 72,889.89 = 30,154.10 : x
  2. Step 2: Convert to fraction form
    52,825.46/72,889.89 = 30,154.10/x
  3. Step 3: Cross multiply
    52,825.46x = 72,889.89 × 30,154.10
  4. Step 4: Simplify right side
    52,825.46x = 2,197,929,032.05
  5. Step 5: Solve for x
    x = 2,197,929,032.05/52,825.46
  6. Step 6: Final answer
    x = 41,607.38

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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.