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Finding the Fourth Proportional to 55,242.16, 76,235.07 and 31,369.48

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Solution

The fourth proportional to 55,242.16, 76,235.07 and 31,369.48 is: 43,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,242.16 : 76,235.07 = 31,369.48 : x
  2. Step 2: Convert to fraction form
    55,242.16/76,235.07 = 31,369.48/x
  3. Step 3: Cross multiply
    55,242.16x = 76,235.07 × 31,369.48
  4. Step 4: Simplify right side
    55,242.16x = 2,391,454,503.66
  5. Step 5: Solve for x
    x = 2,391,454,503.66/55,242.16
  6. Step 6: Final answer
    x = 43,290.39

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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.