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Finding the Fourth Proportional to 53,696.76, 74,098.34 and 29,822.84

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Solution

The fourth proportional to 53,696.76, 74,098.34 and 29,822.84 is: 41,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,696.76 : 74,098.34 = 29,822.84 : x
  2. Step 2: Convert to fraction form
    53,696.76/74,098.34 = 29,822.84/x
  3. Step 3: Cross multiply
    53,696.76x = 74,098.34 × 29,822.84
  4. Step 4: Simplify right side
    53,696.76x = 2,209,822,938.09
  5. Step 5: Solve for x
    x = 2,209,822,938.09/53,696.76
  6. Step 6: Final answer
    x = 41,153.75

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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.