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Finding the Fourth Proportional to 41,536.84, 57,312.08 and 26,424

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Solution

The fourth proportional to 41,536.84, 57,312.08 and 26,424 is: 36,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,536.84 : 57,312.08 = 26,424 : x
  2. Step 2: Convert to fraction form
    41,536.84/57,312.08 = 26,424/x
  3. Step 3: Cross multiply
    41,536.84x = 57,312.08 × 26,424
  4. Step 4: Simplify right side
    41,536.84x = 1,514,414,401.92
  5. Step 5: Solve for x
    x = 1,514,414,401.92/41,536.84
  6. Step 6: Final answer
    x = 36,459.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.