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Finding the Fourth Proportional to 35,862.82, 49,492.05 and 19,948.42

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Solution

The fourth proportional to 35,862.82, 49,492.05 and 19,948.42 is: 27,529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862.82 : 49,492.05 = 19,948.42 : x
  2. Step 2: Convert to fraction form
    35,862.82/49,492.05 = 19,948.42/x
  3. Step 3: Cross multiply
    35,862.82x = 49,492.05 × 19,948.42
  4. Step 4: Simplify right side
    35,862.82x = 987,288,200.06
  5. Step 5: Solve for x
    x = 987,288,200.06/35,862.82
  6. Step 6: Final answer
    x = 27,529.58

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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.