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Finding the Fourth Proportional to 76,141.90, 105,074.29 and 42,150.38

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Solution

The fourth proportional to 76,141.90, 105,074.29 and 42,150.38 is: 58,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,141.90 : 105,074.29 = 42,150.38 : x
  2. Step 2: Convert to fraction form
    76,141.90/105,074.29 = 42,150.38/x
  3. Step 3: Cross multiply
    76,141.90x = 105,074.29 × 42,150.38
  4. Step 4: Simplify right side
    76,141.90x = 4,428,920,660.50
  5. Step 5: Solve for x
    x = 4,428,920,660.50/76,141.90
  6. Step 6: Final answer
    x = 58,166.67

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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.