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Finding the Fourth Proportional to 76,548.62, 105,624.33 and 42,556.16

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Solution

The fourth proportional to 76,548.62, 105,624.33 and 42,556.16 is: 58,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,548.62 : 105,624.33 = 42,556.16 : x
  2. Step 2: Convert to fraction form
    76,548.62/105,624.33 = 42,556.16/x
  3. Step 3: Cross multiply
    76,548.62x = 105,624.33 × 42,556.16
  4. Step 4: Simplify right side
    76,548.62x = 4,494,965,887.37
  5. Step 5: Solve for x
    x = 4,494,965,887.37/76,548.62
  6. Step 6: Final answer
    x = 58,720.40

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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.