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Finding the Fourth Proportional to 55,058.76, 76,004.36 and 37,178

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Solution

The fourth proportional to 55,058.76, 76,004.36 and 37,178 is: 51,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,058.76 : 76,004.36 = 37,178 : x
  2. Step 2: Convert to fraction form
    55,058.76/76,004.36 = 37,178/x
  3. Step 3: Cross multiply
    55,058.76x = 76,004.36 × 37,178
  4. Step 4: Simplify right side
    55,058.76x = 2,825,690,096.08
  5. Step 5: Solve for x
    x = 2,825,690,096.08/55,058.76
  6. Step 6: Final answer
    x = 51,321.35

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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.