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Finding the Fourth Proportional to 55,538.34, 76,642.83 and 30,387.84

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Solution

The fourth proportional to 55,538.34, 76,642.83 and 30,387.84 is: 41,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,538.34 : 76,642.83 = 30,387.84 : x
  2. Step 2: Convert to fraction form
    55,538.34/76,642.83 = 30,387.84/x
  3. Step 3: Cross multiply
    55,538.34x = 76,642.83 × 30,387.84
  4. Step 4: Simplify right side
    55,538.34x = 2,329,010,055.19
  5. Step 5: Solve for x
    x = 2,329,010,055.19/55,538.34
  6. Step 6: Final answer
    x = 41,935.18

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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.