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Finding the Fourth Proportional to 35,204.38, 48,582.07 and 19,288.90

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Solution

The fourth proportional to 35,204.38, 48,582.07 and 19,288.90 is: 26,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,204.38 : 48,582.07 = 19,288.90 : x
  2. Step 2: Convert to fraction form
    35,204.38/48,582.07 = 19,288.90/x
  3. Step 3: Cross multiply
    35,204.38x = 48,582.07 × 19,288.90
  4. Step 4: Simplify right side
    35,204.38x = 937,094,690.02
  5. Step 5: Solve for x
    x = 937,094,690.02/35,204.38
  6. Step 6: Final answer
    x = 26,618.70

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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.