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Finding the Fourth Proportional to 57,762.76, 86,618.22 and 26,581

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Solution

The fourth proportional to 57,762.76, 86,618.22 and 26,581 is: 39,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762.76 : 86,618.22 = 26,581 : x
  2. Step 2: Convert to fraction form
    57,762.76/86,618.22 = 26,581/x
  3. Step 3: Cross multiply
    57,762.76x = 86,618.22 × 26,581
  4. Step 4: Simplify right side
    57,762.76x = 2,302,398,905.82
  5. Step 5: Solve for x
    x = 2,302,398,905.82/57,762.76
  6. Step 6: Final answer
    x = 39,859.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.