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Finding the Fourth Proportional to 37,598.36, 51,884.20 and 22,482.10

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Solution

The fourth proportional to 37,598.36, 51,884.20 and 22,482.10 is: 31,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,598.36 : 51,884.20 = 22,482.10 : x
  2. Step 2: Convert to fraction form
    37,598.36/51,884.20 = 22,482.10/x
  3. Step 3: Cross multiply
    37,598.36x = 51,884.20 × 22,482.10
  4. Step 4: Simplify right side
    37,598.36x = 1,166,465,586.90
  5. Step 5: Solve for x
    x = 1,166,465,586.90/37,598.36
  6. Step 6: Final answer
    x = 31,024.38

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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.