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Finding the Fourth Proportional to 55,637.88, 76,782.24 and 30,487.38

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Solution

The fourth proportional to 55,637.88, 76,782.24 and 30,487.38 is: 42,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,637.88 : 76,782.24 = 30,487.38 : x
  2. Step 2: Convert to fraction form
    55,637.88/76,782.24 = 30,487.38/x
  3. Step 3: Cross multiply
    55,637.88x = 76,782.24 × 30,487.38
  4. Step 4: Simplify right side
    55,637.88x = 2,340,889,328.13
  5. Step 5: Solve for x
    x = 2,340,889,328.13/55,637.88
  6. Step 6: Final answer
    x = 42,073.66

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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.