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Finding the Fourth Proportional to 76,437.44, 105,480.11 and 42,448.08

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Solution

The fourth proportional to 76,437.44, 105,480.11 and 42,448.08 is: 58,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,437.44 : 105,480.11 = 42,448.08 : x
  2. Step 2: Convert to fraction form
    76,437.44/105,480.11 = 42,448.08/x
  3. Step 3: Cross multiply
    76,437.44x = 105,480.11 × 42,448.08
  4. Step 4: Simplify right side
    76,437.44x = 4,477,428,147.69
  5. Step 5: Solve for x
    x = 4,477,428,147.69/76,437.44
  6. Step 6: Final answer
    x = 58,576.38

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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.