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Finding the Fourth Proportional to 53,597.42, 73,966.84 and 29,722.50

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Solution

The fourth proportional to 53,597.42, 73,966.84 and 29,722.50 is: 41,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,597.42 : 73,966.84 = 29,722.50 : x
  2. Step 2: Convert to fraction form
    53,597.42/73,966.84 = 29,722.50/x
  3. Step 3: Cross multiply
    53,597.42x = 73,966.84 × 29,722.50
  4. Step 4: Simplify right side
    53,597.42x = 2,198,479,401.90
  5. Step 5: Solve for x
    x = 2,198,479,401.90/53,597.42
  6. Step 6: Final answer
    x = 41,018.38

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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.