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Finding the Fourth Proportional to 53,644.02, 74,029.02 and 29,770.74

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Solution

The fourth proportional to 53,644.02, 74,029.02 and 29,770.74 is: 41,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,644.02 : 74,029.02 = 29,770.74 : x
  2. Step 2: Convert to fraction form
    53,644.02/74,029.02 = 29,770.74/x
  3. Step 3: Cross multiply
    53,644.02x = 74,029.02 × 29,770.74
  4. Step 4: Simplify right side
    53,644.02x = 2,203,898,706.87
  5. Step 5: Solve for x
    x = 2,203,898,706.87/53,644.02
  6. Step 6: Final answer
    x = 41,083.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.