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Finding the Fourth Proportional to 53,716.44, 74,122.98 and 31,051.84

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Solution

The fourth proportional to 53,716.44, 74,122.98 and 31,051.84 is: 42,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,716.44 : 74,122.98 = 31,051.84 : x
  2. Step 2: Convert to fraction form
    53,716.44/74,122.98 = 31,051.84/x
  3. Step 3: Cross multiply
    53,716.44x = 74,122.98 × 31,051.84
  4. Step 4: Simplify right side
    53,716.44x = 2,301,654,915.28
  5. Step 5: Solve for x
    x = 2,301,654,915.28/53,716.44
  6. Step 6: Final answer
    x = 42,848.24

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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.