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Finding the Fourth Proportional to 35,138.90, 48,492.04 and 19,223

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Solution

The fourth proportional to 35,138.90, 48,492.04 and 19,223 is: 26,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,138.90 : 48,492.04 = 19,223 : x
  2. Step 2: Convert to fraction form
    35,138.90/48,492.04 = 19,223/x
  3. Step 3: Cross multiply
    35,138.90x = 48,492.04 × 19,223
  4. Step 4: Simplify right side
    35,138.90x = 932,162,484.92
  5. Step 5: Solve for x
    x = 932,162,484.92/35,138.90
  6. Step 6: Final answer
    x = 26,527.94

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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.