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Finding the Fourth Proportional to 35,908.82, 53,838.92 and 12,522.50

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Solution

The fourth proportional to 35,908.82, 53,838.92 and 12,522.50 is: 18,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,908.82 : 53,838.92 = 12,522.50 : x
  2. Step 2: Convert to fraction form
    35,908.82/53,838.92 = 12,522.50/x
  3. Step 3: Cross multiply
    35,908.82x = 53,838.92 × 12,522.50
  4. Step 4: Simplify right side
    35,908.82x = 674,197,875.70
  5. Step 5: Solve for x
    x = 674,197,875.70/35,908.82
  6. Step 6: Final answer
    x = 18,775.27

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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.