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Finding the Fourth Proportional to 53,770.95, 74,199.78 and 29,893.77

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Solution

The fourth proportional to 53,770.95, 74,199.78 and 29,893.77 is: 41,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,770.95 : 74,199.78 = 29,893.77 : x
  2. Step 2: Convert to fraction form
    53,770.95/74,199.78 = 29,893.77/x
  3. Step 3: Cross multiply
    53,770.95x = 74,199.78 × 29,893.77
  4. Step 4: Simplify right side
    53,770.95x = 2,218,111,157.37
  5. Step 5: Solve for x
    x = 2,218,111,157.37/53,770.95
  6. Step 6: Final answer
    x = 41,251.11

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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.