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Finding the Fourth Proportional to 52,020.95, 71,790.75 and 29,365.47

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Solution

The fourth proportional to 52,020.95, 71,790.75 and 29,365.47 is: 40,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,020.95 : 71,790.75 = 29,365.47 : x
  2. Step 2: Convert to fraction form
    52,020.95/71,790.75 = 29,365.47/x
  3. Step 3: Cross multiply
    52,020.95x = 71,790.75 × 29,365.47
  4. Step 4: Simplify right side
    52,020.95x = 2,108,169,115.40
  5. Step 5: Solve for x
    x = 2,108,169,115.40/52,020.95
  6. Step 6: Final answer
    x = 40,525.39

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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.