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Finding the Fourth Proportional to 35,253.94, 48,658.26 and 27,582.08

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Solution

The fourth proportional to 35,253.94, 48,658.26 and 27,582.08 is: 38,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,253.94 : 48,658.26 = 27,582.08 : x
  2. Step 2: Convert to fraction form
    35,253.94/48,658.26 = 27,582.08/x
  3. Step 3: Cross multiply
    35,253.94x = 48,658.26 × 27,582.08
  4. Step 4: Simplify right side
    35,253.94x = 1,342,096,019.98
  5. Step 5: Solve for x
    x = 1,342,096,019.98/35,253.94
  6. Step 6: Final answer
    x = 38,069.39

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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.