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Finding the Fourth Proportional to 55,020.81, 75,927.54 and 29,870.31

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Solution

The fourth proportional to 55,020.81, 75,927.54 and 29,870.31 is: 41,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,020.81 : 75,927.54 = 29,870.31 : x
  2. Step 2: Convert to fraction form
    55,020.81/75,927.54 = 29,870.31/x
  3. Step 3: Cross multiply
    55,020.81x = 75,927.54 × 29,870.31
  4. Step 4: Simplify right side
    55,020.81x = 2,267,979,157.34
  5. Step 5: Solve for x
    x = 2,267,979,157.34/55,020.81
  6. Step 6: Final answer
    x = 41,220.39

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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.