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Finding the Fourth Proportional to 73,907.56, 102,016.74 and 58,827.88

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Solution

The fourth proportional to 73,907.56, 102,016.74 and 58,827.88 is: 81,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,907.56 : 102,016.74 = 58,827.88 : x
  2. Step 2: Convert to fraction form
    73,907.56/102,016.74 = 58,827.88/x
  3. Step 3: Cross multiply
    73,907.56x = 102,016.74 × 58,827.88
  4. Step 4: Simplify right side
    73,907.56x = 6,001,428,538.71
  5. Step 5: Solve for x
    x = 6,001,428,538.71/73,907.56
  6. Step 6: Final answer
    x = 81,201.82

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Why These Related Problems?

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