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Finding the Fourth Proportional to 53,538.84, 73,900.62 and 31,187.16

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Solution

The fourth proportional to 53,538.84, 73,900.62 and 31,187.16 is: 43,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538.84 : 73,900.62 = 31,187.16 : x
  2. Step 2: Convert to fraction form
    53,538.84/73,900.62 = 31,187.16/x
  3. Step 3: Cross multiply
    53,538.84x = 73,900.62 × 31,187.16
  4. Step 4: Simplify right side
    53,538.84x = 2,304,750,460.04
  5. Step 5: Solve for x
    x = 2,304,750,460.04/53,538.84
  6. Step 6: Final answer
    x = 43,048.20

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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.