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Finding the Fourth Proportional to 55,300, 76,315.92 and 31,427.68

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Solution

The fourth proportional to 55,300, 76,315.92 and 31,427.68 is: 43,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,300 : 76,315.92 = 31,427.68 : x
  2. Step 2: Convert to fraction form
    55,300/76,315.92 = 31,427.68/x
  3. Step 3: Cross multiply
    55,300x = 76,315.92 × 31,427.68
  4. Step 4: Simplify right side
    55,300x = 2,398,432,312.67
  5. Step 5: Solve for x
    x = 2,398,432,312.67/55,300
  6. Step 6: Final answer
    x = 43,371.29

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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.